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Finding the Fourth Proportional to 11,641.52, 16,061.13 and 7,814.09

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Solution

The fourth proportional to 11,641.52, 16,061.13 and 7,814.09 is: 10,780.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.52 : 16,061.13 = 7,814.09 : x
  2. Step 2: Convert to fraction form
    11,641.52/16,061.13 = 7,814.09/x
  3. Step 3: Cross multiply
    11,641.52x = 16,061.13 × 7,814.09
  4. Step 4: Simplify right side
    11,641.52x = 125,503,155.47
  5. Step 5: Solve for x
    x = 125,503,155.47/11,641.52
  6. Step 6: Final answer
    x = 10,780.65

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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.