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Finding the Fourth Proportional to 10,253.39, 15,374.62 and 5,310.77

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Solution

The fourth proportional to 10,253.39, 15,374.62 and 5,310.77 is: 7,963.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,253.39 : 15,374.62 = 5,310.77 : x
  2. Step 2: Convert to fraction form
    10,253.39/15,374.62 = 5,310.77/x
  3. Step 3: Cross multiply
    10,253.39x = 15,374.62 × 5,310.77
  4. Step 4: Simplify right side
    10,253.39x = 81,651,044.10
  5. Step 5: Solve for x
    x = 81,651,044.10/10,253.39
  6. Step 6: Final answer
    x = 7,963.32

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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.