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Finding the Fourth Proportional to 10,077.57, 15,109.13 and 4,737.76

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Solution

The fourth proportional to 10,077.57, 15,109.13 and 4,737.76 is: 7,103.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,077.57 : 15,109.13 = 4,737.76 : x
  2. Step 2: Convert to fraction form
    10,077.57/15,109.13 = 4,737.76/x
  3. Step 3: Cross multiply
    10,077.57x = 15,109.13 × 4,737.76
  4. Step 4: Simplify right side
    10,077.57x = 71,583,431.75
  5. Step 5: Solve for x
    x = 71,583,431.75/10,077.57
  6. Step 6: Final answer
    x = 7,103.24

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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.