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Finding the Fourth Proportional to 6,341.44, 8,753.52 and 4,766.80

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Solution

The fourth proportional to 6,341.44, 8,753.52 and 4,766.80 is: 6,579.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,341.44 : 8,753.52 = 4,766.80 : x
  2. Step 2: Convert to fraction form
    6,341.44/8,753.52 = 4,766.80/x
  3. Step 3: Cross multiply
    6,341.44x = 8,753.52 × 4,766.80
  4. Step 4: Simplify right side
    6,341.44x = 41,726,279.14
  5. Step 5: Solve for x
    x = 41,726,279.14/6,341.44
  6. Step 6: Final answer
    x = 6,579.94

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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.