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Finding the Fourth Proportional to 7,247.84, 10,857.17 and 6,132.47

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Solution

The fourth proportional to 7,247.84, 10,857.17 and 6,132.47 is: 9,186.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,247.84 : 10,857.17 = 6,132.47 : x
  2. Step 2: Convert to fraction form
    7,247.84/10,857.17 = 6,132.47/x
  3. Step 3: Cross multiply
    7,247.84x = 10,857.17 × 6,132.47
  4. Step 4: Simplify right side
    7,247.84x = 66,581,269.31
  5. Step 5: Solve for x
    x = 66,581,269.31/7,247.84
  6. Step 6: Final answer
    x = 9,186.36

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