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Finding the Fourth Proportional to 10,114.62, 15,170.51 and 3,876.20

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Solution

The fourth proportional to 10,114.62, 15,170.51 and 3,876.20 is: 5,813.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.62 : 15,170.51 = 3,876.20 : x
  2. Step 2: Convert to fraction form
    10,114.62/15,170.51 = 3,876.20/x
  3. Step 3: Cross multiply
    10,114.62x = 15,170.51 × 3,876.20
  4. Step 4: Simplify right side
    10,114.62x = 58,803,985.12
  5. Step 5: Solve for x
    x = 58,803,985.12/10,114.62
  6. Step 6: Final answer
    x = 5,813.76

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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.