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Finding the Fourth Proportional to 10,149.90, 14,009.12 and 6,170.17

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Solution

The fourth proportional to 10,149.90, 14,009.12 and 6,170.17 is: 8,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,149.90 : 14,009.12 = 6,170.17 : x
  2. Step 2: Convert to fraction form
    10,149.90/14,009.12 = 6,170.17/x
  3. Step 3: Cross multiply
    10,149.90x = 14,009.12 × 6,170.17
  4. Step 4: Simplify right side
    10,149.90x = 86,438,551.05
  5. Step 5: Solve for x
    x = 86,438,551.05/10,149.90
  6. Step 6: Final answer
    x = 8,516.20

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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.