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Finding the Fourth Proportional to 6,937,687.80, 10,406,531.70 and 5,662,229.40

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Solution

The fourth proportional to 6,937,687.80, 10,406,531.70 and 5,662,229.40 is: 8,493,344.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937,687.80 : 10,406,531.70 = 5,662,229.40 : x
  2. Step 2: Convert to fraction form
    6,937,687.80/10,406,531.70 = 5,662,229.40/x
  3. Step 3: Cross multiply
    6,937,687.80x = 10,406,531.70 × 5,662,229.40
  4. Step 4: Simplify right side
    6,937,687.80x = 58,924,169,743,771.98
  5. Step 5: Solve for x
    x = 58,924,169,743,771.98/6,937,687.80
  6. Step 6: Final answer
    x = 8,493,344.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.