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Finding the Fourth Proportional to 11,932.40, 16,466 and 6,626.90

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Solution

The fourth proportional to 11,932.40, 16,466 and 6,626.90 is: 9,144.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,932.40 : 16,466 = 6,626.90 : x
  2. Step 2: Convert to fraction form
    11,932.40/16,466 = 6,626.90/x
  3. Step 3: Cross multiply
    11,932.40x = 16,466 × 6,626.90
  4. Step 4: Simplify right side
    11,932.40x = 109,118,535.40
  5. Step 5: Solve for x
    x = 109,118,535.40/11,932.40
  6. Step 6: Final answer
    x = 9,144.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.