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Finding the Fourth Proportional to 10,959.10, 16,414.35 and 4,381.90

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Solution

The fourth proportional to 10,959.10, 16,414.35 and 4,381.90 is: 6,563.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,959.10 : 16,414.35 = 4,381.90 : x
  2. Step 2: Convert to fraction form
    10,959.10/16,414.35 = 4,381.90/x
  3. Step 3: Cross multiply
    10,959.10x = 16,414.35 × 4,381.90
  4. Step 4: Simplify right side
    10,959.10x = 71,926,040.27
  5. Step 5: Solve for x
    x = 71,926,040.27/10,959.10
  6. Step 6: Final answer
    x = 6,563.13

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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.