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Finding the Fourth Proportional to 6,355.13, 8,764.40 and 4,114.80

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Solution

The fourth proportional to 6,355.13, 8,764.40 and 4,114.80 is: 5,674.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,355.13 : 8,764.40 = 4,114.80 : x
  2. Step 2: Convert to fraction form
    6,355.13/8,764.40 = 4,114.80/x
  3. Step 3: Cross multiply
    6,355.13x = 8,764.40 × 4,114.80
  4. Step 4: Simplify right side
    6,355.13x = 36,063,763.41
  5. Step 5: Solve for x
    x = 36,063,763.41/6,355.13
  6. Step 6: Final answer
    x = 5,674.75

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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.