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Finding the Fourth Proportional to 8,434.72, 11,641.31 and 8,061.04

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Solution

The fourth proportional to 8,434.72, 11,641.31 and 8,061.04 is: 11,125.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.72 : 11,641.31 = 8,061.04 : x
  2. Step 2: Convert to fraction form
    8,434.72/11,641.31 = 8,061.04/x
  3. Step 3: Cross multiply
    8,434.72x = 11,641.31 × 8,061.04
  4. Step 4: Simplify right side
    8,434.72x = 93,841,065.56
  5. Step 5: Solve for x
    x = 93,841,065.56/8,434.72
  6. Step 6: Final answer
    x = 11,125.57

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.