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Finding the Fourth Proportional to 10,354.43, 15,534.08 and 2,959

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Solution

The fourth proportional to 10,354.43, 15,534.08 and 2,959 is: 4,439.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,354.43 : 15,534.08 = 2,959 : x
  2. Step 2: Convert to fraction form
    10,354.43/15,534.08 = 2,959/x
  3. Step 3: Cross multiply
    10,354.43x = 15,534.08 × 2,959
  4. Step 4: Simplify right side
    10,354.43x = 45,965,342.72
  5. Step 5: Solve for x
    x = 45,965,342.72/10,354.43
  6. Step 6: Final answer
    x = 4,439.20

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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.