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Finding the Fourth Proportional to 10,508.28, 14,487.84 and 8,612.88

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Solution

The fourth proportional to 10,508.28, 14,487.84 and 8,612.88 is: 11,874.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,508.28 : 14,487.84 = 8,612.88 : x
  2. Step 2: Convert to fraction form
    10,508.28/14,487.84 = 8,612.88/x
  3. Step 3: Cross multiply
    10,508.28x = 14,487.84 × 8,612.88
  4. Step 4: Simplify right side
    10,508.28x = 124,782,027.38
  5. Step 5: Solve for x
    x = 124,782,027.38/10,508.28
  6. Step 6: Final answer
    x = 11,874.64

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.