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Finding the Fourth Proportional to 10,077.61, 15,116.75 and 3,836.68

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Solution

The fourth proportional to 10,077.61, 15,116.75 and 3,836.68 is: 5,755.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.61 : 15,116.75 = 3,836.68 : x
  2. Step 2: Convert to fraction form
    10,077.61/15,116.75 = 3,836.68/x
  3. Step 3: Cross multiply
    10,077.61x = 15,116.75 × 3,836.68
  4. Step 4: Simplify right side
    10,077.61x = 57,998,185.62
  5. Step 5: Solve for x
    x = 57,998,185.62/10,077.61
  6. Step 6: Final answer
    x = 5,755.15

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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.