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Finding the Fourth Proportional to 10,920.32, 16,381.04 and 3,129.20

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Solution

The fourth proportional to 10,920.32, 16,381.04 and 3,129.20 is: 4,693.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,920.32 : 16,381.04 = 3,129.20 : x
  2. Step 2: Convert to fraction form
    10,920.32/16,381.04 = 3,129.20/x
  3. Step 3: Cross multiply
    10,920.32x = 16,381.04 × 3,129.20
  4. Step 4: Simplify right side
    10,920.32x = 51,259,550.37
  5. Step 5: Solve for x
    x = 51,259,550.37/10,920.32
  6. Step 6: Final answer
    x = 4,693.96

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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.