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Finding the Fourth Proportional to 10,407.39, 14,363.52 and 5,932.75

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Solution

The fourth proportional to 10,407.39, 14,363.52 and 5,932.75 is: 8,187.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,407.39 : 14,363.52 = 5,932.75 : x
  2. Step 2: Convert to fraction form
    10,407.39/14,363.52 = 5,932.75/x
  3. Step 3: Cross multiply
    10,407.39x = 14,363.52 × 5,932.75
  4. Step 4: Simplify right side
    10,407.39x = 85,215,173.28
  5. Step 5: Solve for x
    x = 85,215,173.28/10,407.39
  6. Step 6: Final answer
    x = 8,187.95

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