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Finding the Fourth Proportional to 10,687.13, 14,748.24 and 5,971.52

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Solution

The fourth proportional to 10,687.13, 14,748.24 and 5,971.52 is: 8,240.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,687.13 : 14,748.24 = 5,971.52 : x
  2. Step 2: Convert to fraction form
    10,687.13/14,748.24 = 5,971.52/x
  3. Step 3: Cross multiply
    10,687.13x = 14,748.24 × 5,971.52
  4. Step 4: Simplify right side
    10,687.13x = 88,069,336.38
  5. Step 5: Solve for x
    x = 88,069,336.38/10,687.13
  6. Step 6: Final answer
    x = 8,240.69

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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.