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Finding the Fourth Proportional to 10,396.15, 15,593.21 and 5,398.30

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Solution

The fourth proportional to 10,396.15, 15,593.21 and 5,398.30 is: 8,096.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,396.15 : 15,593.21 = 5,398.30 : x
  2. Step 2: Convert to fraction form
    10,396.15/15,593.21 = 5,398.30/x
  3. Step 3: Cross multiply
    10,396.15x = 15,593.21 × 5,398.30
  4. Step 4: Simplify right side
    10,396.15x = 84,176,750.57
  5. Step 5: Solve for x
    x = 84,176,750.57/10,396.15
  6. Step 6: Final answer
    x = 8,096.92

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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.