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Finding the Fourth Proportional to 10,253.44, 14,149.74 and 5,778.28

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Solution

The fourth proportional to 10,253.44, 14,149.74 and 5,778.28 is: 7,974.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.44 : 14,149.74 = 5,778.28 : x
  2. Step 2: Convert to fraction form
    10,253.44/14,149.74 = 5,778.28/x
  3. Step 3: Cross multiply
    10,253.44x = 14,149.74 × 5,778.28
  4. Step 4: Simplify right side
    10,253.44x = 81,761,159.65
  5. Step 5: Solve for x
    x = 81,761,159.65/10,253.44
  6. Step 6: Final answer
    x = 7,974.02

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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.