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Finding the Fourth Proportional to 10,434.78, 15,652.20 and 3,039.42

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Solution

The fourth proportional to 10,434.78, 15,652.20 and 3,039.42 is: 4,559.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,434.78 : 15,652.20 = 3,039.42 : x
  2. Step 2: Convert to fraction form
    10,434.78/15,652.20 = 3,039.42/x
  3. Step 3: Cross multiply
    10,434.78x = 15,652.20 × 3,039.42
  4. Step 4: Simplify right side
    10,434.78x = 47,573,566.13
  5. Step 5: Solve for x
    x = 47,573,566.13/10,434.78
  6. Step 6: Final answer
    x = 4,559.14

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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.