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Finding the Fourth Proportional to 11,053.38, 16,580.04 and 7,781.06

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Solution

The fourth proportional to 11,053.38, 16,580.04 and 7,781.06 is: 11,671.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,053.38 : 16,580.04 = 7,781.06 : x
  2. Step 2: Convert to fraction form
    11,053.38/16,580.04 = 7,781.06/x
  3. Step 3: Cross multiply
    11,053.38x = 16,580.04 × 7,781.06
  4. Step 4: Simplify right side
    11,053.38x = 129,010,286.04
  5. Step 5: Solve for x
    x = 129,010,286.04/11,053.38
  6. Step 6: Final answer
    x = 11,671.57

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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.