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Finding the Fourth Proportional to 7,382.17, 11,016.14 and 6,593.68

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Solution

The fourth proportional to 7,382.17, 11,016.14 and 6,593.68 is: 9,839.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,382.17 : 11,016.14 = 6,593.68 : x
  2. Step 2: Convert to fraction form
    7,382.17/11,016.14 = 6,593.68/x
  3. Step 3: Cross multiply
    7,382.17x = 11,016.14 × 6,593.68
  4. Step 4: Simplify right side
    7,382.17x = 72,636,902.00
  5. Step 5: Solve for x
    x = 72,636,902.00/7,382.17
  6. Step 6: Final answer
    x = 9,839.51

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.