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Finding the Fourth Proportional to 10,256.96, 15,379.68 and 4,251.20

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Solution

The fourth proportional to 10,256.96, 15,379.68 and 4,251.20 is: 6,374.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,256.96 : 15,379.68 = 4,251.20 : x
  2. Step 2: Convert to fraction form
    10,256.96/15,379.68 = 4,251.20/x
  3. Step 3: Cross multiply
    10,256.96x = 15,379.68 × 4,251.20
  4. Step 4: Simplify right side
    10,256.96x = 65,382,095.62
  5. Step 5: Solve for x
    x = 65,382,095.62/10,256.96
  6. Step 6: Final answer
    x = 6,374.41

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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.