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Finding the Fourth Proportional to 10,343.52, 15,514.20 and 2,947.50

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Solution

The fourth proportional to 10,343.52, 15,514.20 and 2,947.50 is: 4,420.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,343.52 : 15,514.20 = 2,947.50 : x
  2. Step 2: Convert to fraction form
    10,343.52/15,514.20 = 2,947.50/x
  3. Step 3: Cross multiply
    10,343.52x = 15,514.20 × 2,947.50
  4. Step 4: Simplify right side
    10,343.52x = 45,728,104.50
  5. Step 5: Solve for x
    x = 45,728,104.50/10,343.52
  6. Step 6: Final answer
    x = 4,420.94

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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.