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Finding the Fourth Proportional to 10,083.59, 15,112.24 and 5,149.07

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Solution

The fourth proportional to 10,083.59, 15,112.24 and 5,149.07 is: 7,716.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,083.59 : 15,112.24 = 5,149.07 : x
  2. Step 2: Convert to fraction form
    10,083.59/15,112.24 = 5,149.07/x
  3. Step 3: Cross multiply
    10,083.59x = 15,112.24 × 5,149.07
  4. Step 4: Simplify right side
    10,083.59x = 77,813,981.62
  5. Step 5: Solve for x
    x = 77,813,981.62/10,083.59
  6. Step 6: Final answer
    x = 7,716.89

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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.