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Finding the Fourth Proportional to 10,746, 16,126.20 and 4,591.44

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Solution

The fourth proportional to 10,746, 16,126.20 and 4,591.44 is: 6,890.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,746 : 16,126.20 = 4,591.44 : x
  2. Step 2: Convert to fraction form
    10,746/16,126.20 = 4,591.44/x
  3. Step 3: Cross multiply
    10,746x = 16,126.20 × 4,591.44
  4. Step 4: Simplify right side
    10,746x = 74,042,479.73
  5. Step 5: Solve for x
    x = 74,042,479.73/10,746
  6. Step 6: Final answer
    x = 6,890.24

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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.