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Finding the Fourth Proportional to 10,310.92, 14,266.56 and 8,987.38

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Solution

The fourth proportional to 10,310.92, 14,266.56 and 8,987.38 is: 12,435.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.92 : 14,266.56 = 8,987.38 : x
  2. Step 2: Convert to fraction form
    10,310.92/14,266.56 = 8,987.38/x
  3. Step 3: Cross multiply
    10,310.92x = 14,266.56 × 8,987.38
  4. Step 4: Simplify right side
    10,310.92x = 128,218,996.01
  5. Step 5: Solve for x
    x = 128,218,996.01/10,310.92
  6. Step 6: Final answer
    x = 12,435.26

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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.