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Finding the Fourth Proportional to 10,634.66, 15,952.13 and 4,061.20

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Solution

The fourth proportional to 10,634.66, 15,952.13 and 4,061.20 is: 6,091.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,634.66 : 15,952.13 = 4,061.20 : x
  2. Step 2: Convert to fraction form
    10,634.66/15,952.13 = 4,061.20/x
  3. Step 3: Cross multiply
    10,634.66x = 15,952.13 × 4,061.20
  4. Step 4: Simplify right side
    10,634.66x = 64,784,790.36
  5. Step 5: Solve for x
    x = 64,784,790.36/10,634.66
  6. Step 6: Final answer
    x = 6,091.86

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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.