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Finding the Fourth Proportional to 7,311.80, 10,935.70 and 6,537.40

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Solution

The fourth proportional to 7,311.80, 10,935.70 and 6,537.40 is: 9,777.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,311.80 : 10,935.70 = 6,537.40 : x
  2. Step 2: Convert to fraction form
    7,311.80/10,935.70 = 6,537.40/x
  3. Step 3: Cross multiply
    7,311.80x = 10,935.70 × 6,537.40
  4. Step 4: Simplify right side
    7,311.80x = 71,491,045.18
  5. Step 5: Solve for x
    x = 71,491,045.18/7,311.80
  6. Step 6: Final answer
    x = 9,777.49

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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.