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Finding the Fourth Proportional to 10,502.13, 15,759.79 and 4,262.17

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Solution

The fourth proportional to 10,502.13, 15,759.79 and 4,262.17 is: 6,395.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,502.13 : 15,759.79 = 4,262.17 : x
  2. Step 2: Convert to fraction form
    10,502.13/15,759.79 = 4,262.17/x
  3. Step 3: Cross multiply
    10,502.13x = 15,759.79 × 4,262.17
  4. Step 4: Simplify right side
    10,502.13x = 67,170,904.14
  5. Step 5: Solve for x
    x = 67,170,904.14/10,502.13
  6. Step 6: Final answer
    x = 6,395.93

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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.