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Finding the Fourth Proportional to 8,148.66, 11,245.52 and 6,377.18

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Solution

The fourth proportional to 8,148.66, 11,245.52 and 6,377.18 is: 8,800.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,148.66 : 11,245.52 = 6,377.18 : x
  2. Step 2: Convert to fraction form
    8,148.66/11,245.52 = 6,377.18/x
  3. Step 3: Cross multiply
    8,148.66x = 11,245.52 × 6,377.18
  4. Step 4: Simplify right side
    8,148.66x = 71,714,705.23
  5. Step 5: Solve for x
    x = 71,714,705.23/8,148.66
  6. Step 6: Final answer
    x = 8,800.80

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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.