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Finding the Fourth Proportional to 10,310.28, 15,443.82 and 6,593.60

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Solution

The fourth proportional to 10,310.28, 15,443.82 and 6,593.60 is: 9,876.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,310.28 : 15,443.82 = 6,593.60 : x
  2. Step 2: Convert to fraction form
    10,310.28/15,443.82 = 6,593.60/x
  3. Step 3: Cross multiply
    10,310.28x = 15,443.82 × 6,593.60
  4. Step 4: Simplify right side
    10,310.28x = 101,830,294.33
  5. Step 5: Solve for x
    x = 101,830,294.33/10,310.28
  6. Step 6: Final answer
    x = 9,876.58

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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.