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Finding the Fourth Proportional to 8,006.70, 11,049.46 and 4,470.60

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Solution

The fourth proportional to 8,006.70, 11,049.46 and 4,470.60 is: 6,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,006.70 : 11,049.46 = 4,470.60 : x
  2. Step 2: Convert to fraction form
    8,006.70/11,049.46 = 4,470.60/x
  3. Step 3: Cross multiply
    8,006.70x = 11,049.46 × 4,470.60
  4. Step 4: Simplify right side
    8,006.70x = 49,397,715.88
  5. Step 5: Solve for x
    x = 49,397,715.88/8,006.70
  6. Step 6: Final answer
    x = 6,169.55

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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.