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Finding the Fourth Proportional to 10,934.70, 16,414.20 and 6,779.40

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Solution

The fourth proportional to 10,934.70, 16,414.20 and 6,779.40 is: 10,176.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.70 : 16,414.20 = 6,779.40 : x
  2. Step 2: Convert to fraction form
    10,934.70/16,414.20 = 6,779.40/x
  3. Step 3: Cross multiply
    10,934.70x = 16,414.20 × 6,779.40
  4. Step 4: Simplify right side
    10,934.70x = 111,278,427.48
  5. Step 5: Solve for x
    x = 111,278,427.48/10,934.70
  6. Step 6: Final answer
    x = 10,176.63

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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.