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Finding the Fourth Proportional to 10,278.55, 15,392.98 and 5,882.68

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Solution

The fourth proportional to 10,278.55, 15,392.98 and 5,882.68 is: 8,809.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.55 : 15,392.98 = 5,882.68 : x
  2. Step 2: Convert to fraction form
    10,278.55/15,392.98 = 5,882.68/x
  3. Step 3: Cross multiply
    10,278.55x = 15,392.98 × 5,882.68
  4. Step 4: Simplify right side
    10,278.55x = 90,551,869.21
  5. Step 5: Solve for x
    x = 90,551,869.21/10,278.55
  6. Step 6: Final answer
    x = 8,809.79

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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.