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Finding the Fourth Proportional to 10,497.16, 15,755.46 and 5,306.68

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Solution

The fourth proportional to 10,497.16, 15,755.46 and 5,306.68 is: 7,964.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.16 : 15,755.46 = 5,306.68 : x
  2. Step 2: Convert to fraction form
    10,497.16/15,755.46 = 5,306.68/x
  3. Step 3: Cross multiply
    10,497.16x = 15,755.46 × 5,306.68
  4. Step 4: Simplify right side
    10,497.16x = 83,609,184.47
  5. Step 5: Solve for x
    x = 83,609,184.47/10,497.16
  6. Step 6: Final answer
    x = 7,964.93

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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.