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Finding the Fourth Proportional to 10,752.68, 16,122.87 and 4,171.19

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Solution

The fourth proportional to 10,752.68, 16,122.87 and 4,171.19 is: 6,254.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,752.68 : 16,122.87 = 4,171.19 : x
  2. Step 2: Convert to fraction form
    10,752.68/16,122.87 = 4,171.19/x
  3. Step 3: Cross multiply
    10,752.68x = 16,122.87 × 4,171.19
  4. Step 4: Simplify right side
    10,752.68x = 67,251,473.50
  5. Step 5: Solve for x
    x = 67,251,473.50/10,752.68
  6. Step 6: Final answer
    x = 6,254.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.