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Finding the Fourth Proportional to 10,278.40, 15,402.24 and 5,655.04

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Solution

The fourth proportional to 10,278.40, 15,402.24 and 5,655.04 is: 8,474.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,278.40 : 15,402.24 = 5,655.04 : x
  2. Step 2: Convert to fraction form
    10,278.40/15,402.24 = 5,655.04/x
  3. Step 3: Cross multiply
    10,278.40x = 15,402.24 × 5,655.04
  4. Step 4: Simplify right side
    10,278.40x = 87,100,283.29
  5. Step 5: Solve for x
    x = 87,100,283.29/10,278.40
  6. Step 6: Final answer
    x = 8,474.11

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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.