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Finding the Fourth Proportional to 6,853.48, 10,283.35 and 3,728.80

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Solution

The fourth proportional to 6,853.48, 10,283.35 and 3,728.80 is: 5,594.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,853.48 : 10,283.35 = 3,728.80 : x
  2. Step 2: Convert to fraction form
    6,853.48/10,283.35 = 3,728.80/x
  3. Step 3: Cross multiply
    6,853.48x = 10,283.35 × 3,728.80
  4. Step 4: Simplify right side
    6,853.48x = 38,344,555.48
  5. Step 5: Solve for x
    x = 38,344,555.48/6,853.48
  6. Step 6: Final answer
    x = 5,594.90

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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.