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Finding the Fourth Proportional to 10,164.92, 15,252.24 and 5,726.12

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Solution

The fourth proportional to 10,164.92, 15,252.24 and 5,726.12 is: 8,591.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,164.92 : 15,252.24 = 5,726.12 : x
  2. Step 2: Convert to fraction form
    10,164.92/15,252.24 = 5,726.12/x
  3. Step 3: Cross multiply
    10,164.92x = 15,252.24 × 5,726.12
  4. Step 4: Simplify right side
    10,164.92x = 87,336,156.51
  5. Step 5: Solve for x
    x = 87,336,156.51/10,164.92
  6. Step 6: Final answer
    x = 8,591.92

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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.