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Finding the Fourth Proportional to 10,866.24, 16,295.94 and 4,626.18

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Solution

The fourth proportional to 10,866.24, 16,295.94 and 4,626.18 is: 6,937.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,866.24 : 16,295.94 = 4,626.18 : x
  2. Step 2: Convert to fraction form
    10,866.24/16,295.94 = 4,626.18/x
  3. Step 3: Cross multiply
    10,866.24x = 16,295.94 × 4,626.18
  4. Step 4: Simplify right side
    10,866.24x = 75,387,951.71
  5. Step 5: Solve for x
    x = 75,387,951.71/10,866.24
  6. Step 6: Final answer
    x = 6,937.81

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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.