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Finding the Fourth Proportional to 7,469,846.80, 11,191,867.80 and 3,472,560.40

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Solution

The fourth proportional to 7,469,846.80, 11,191,867.80 and 3,472,560.40 is: 5,202,842.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,469,846.80 : 11,191,867.80 = 3,472,560.40 : x
  2. Step 2: Convert to fraction form
    7,469,846.80/11,191,867.80 = 3,472,560.40/x
  3. Step 3: Cross multiply
    7,469,846.80x = 11,191,867.80 × 3,472,560.40
  4. Step 4: Simplify right side
    7,469,846.80x = 38,864,436,924,315.12
  5. Step 5: Solve for x
    x = 38,864,436,924,315.12/7,469,846.80
  6. Step 6: Final answer
    x = 5,202,842.57

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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.