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Finding the Fourth Proportional to 11,187.59, 15,438.48 and 6,151.78

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Solution

The fourth proportional to 11,187.59, 15,438.48 and 6,151.78 is: 8,489.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,187.59 : 15,438.48 = 6,151.78 : x
  2. Step 2: Convert to fraction form
    11,187.59/15,438.48 = 6,151.78/x
  3. Step 3: Cross multiply
    11,187.59x = 15,438.48 × 6,151.78
  4. Step 4: Simplify right side
    11,187.59x = 94,974,132.49
  5. Step 5: Solve for x
    x = 94,974,132.49/11,187.59
  6. Step 6: Final answer
    x = 8,489.24

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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.