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Finding the Fourth Proportional to 10,168.30, 14,031.30 and 5,919.18

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Solution

The fourth proportional to 10,168.30, 14,031.30 and 5,919.18 is: 8,167.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,168.30 : 14,031.30 = 5,919.18 : x
  2. Step 2: Convert to fraction form
    10,168.30/14,031.30 = 5,919.18/x
  3. Step 3: Cross multiply
    10,168.30x = 14,031.30 × 5,919.18
  4. Step 4: Simplify right side
    10,168.30x = 83,053,790.33
  5. Step 5: Solve for x
    x = 83,053,790.33/10,168.30
  6. Step 6: Final answer
    x = 8,167.91

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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.