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Finding the Fourth Proportional to 10,279.12, 15,424.86 and 4,435.73

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Solution

The fourth proportional to 10,279.12, 15,424.86 and 4,435.73 is: 6,656.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,279.12 : 15,424.86 = 4,435.73 : x
  2. Step 2: Convert to fraction form
    10,279.12/15,424.86 = 4,435.73/x
  3. Step 3: Cross multiply
    10,279.12x = 15,424.86 × 4,435.73
  4. Step 4: Simplify right side
    10,279.12x = 68,420,414.94
  5. Step 5: Solve for x
    x = 68,420,414.94/10,279.12
  6. Step 6: Final answer
    x = 6,656.26

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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.