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Finding the Fourth Proportional to 10,932.42, 16,401.02 and 4,006.92

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Solution

The fourth proportional to 10,932.42, 16,401.02 and 4,006.92 is: 6,011.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,932.42 : 16,401.02 = 4,006.92 : x
  2. Step 2: Convert to fraction form
    10,932.42/16,401.02 = 4,006.92/x
  3. Step 3: Cross multiply
    10,932.42x = 16,401.02 × 4,006.92
  4. Step 4: Simplify right side
    10,932.42x = 65,717,555.02
  5. Step 5: Solve for x
    x = 65,717,555.02/10,932.42
  6. Step 6: Final answer
    x = 6,011.25

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