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Finding the Fourth Proportional to 10,575.39, 14,591.11 and 6,324.71

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Solution

The fourth proportional to 10,575.39, 14,591.11 and 6,324.71 is: 8,726.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,575.39 : 14,591.11 = 6,324.71 : x
  2. Step 2: Convert to fraction form
    10,575.39/14,591.11 = 6,324.71/x
  3. Step 3: Cross multiply
    10,575.39x = 14,591.11 × 6,324.71
  4. Step 4: Simplify right side
    10,575.39x = 92,284,539.33
  5. Step 5: Solve for x
    x = 92,284,539.33/10,575.39
  6. Step 6: Final answer
    x = 8,726.35

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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.