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Finding the Fourth Proportional to 10,319.67, 15,493.68 and 5,326.22

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Solution

The fourth proportional to 10,319.67, 15,493.68 and 5,326.22 is: 7,996.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,319.67 : 15,493.68 = 5,326.22 : x
  2. Step 2: Convert to fraction form
    10,319.67/15,493.68 = 5,326.22/x
  3. Step 3: Cross multiply
    10,319.67x = 15,493.68 × 5,326.22
  4. Step 4: Simplify right side
    10,319.67x = 82,522,787.02
  5. Step 5: Solve for x
    x = 82,522,787.02/10,319.67
  6. Step 6: Final answer
    x = 7,996.65

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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.