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Finding the Fourth Proportional to 10,253.47, 15,374.73 and 5,310.85

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Solution

The fourth proportional to 10,253.47, 15,374.73 and 5,310.85 is: 7,963.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.47 : 15,374.73 = 5,310.85 : x
  2. Step 2: Convert to fraction form
    10,253.47/15,374.73 = 5,310.85/x
  3. Step 3: Cross multiply
    10,253.47x = 15,374.73 × 5,310.85
  4. Step 4: Simplify right side
    10,253.47x = 81,652,884.82
  5. Step 5: Solve for x
    x = 81,652,884.82/10,253.47
  6. Step 6: Final answer
    x = 7,963.44

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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.