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Finding the Fourth Proportional to 10,772.66, 14,867.44 and 6,297.92

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Solution

The fourth proportional to 10,772.66, 14,867.44 and 6,297.92 is: 8,691.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,772.66 : 14,867.44 = 6,297.92 : x
  2. Step 2: Convert to fraction form
    10,772.66/14,867.44 = 6,297.92/x
  3. Step 3: Cross multiply
    10,772.66x = 14,867.44 × 6,297.92
  4. Step 4: Simplify right side
    10,772.66x = 93,633,947.72
  5. Step 5: Solve for x
    x = 93,633,947.72/10,772.66
  6. Step 6: Final answer
    x = 8,691.81

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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.