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Finding the Fourth Proportional to 10,114.20, 15,149.70 and 8,386.20

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Solution

The fourth proportional to 10,114.20, 15,149.70 and 8,386.20 is: 12,561.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,114.20 : 15,149.70 = 8,386.20 : x
  2. Step 2: Convert to fraction form
    10,114.20/15,149.70 = 8,386.20/x
  3. Step 3: Cross multiply
    10,114.20x = 15,149.70 × 8,386.20
  4. Step 4: Simplify right side
    10,114.20x = 127,048,414.14
  5. Step 5: Solve for x
    x = 127,048,414.14/10,114.20
  6. Step 6: Final answer
    x = 12,561.39

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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.