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Finding the Fourth Proportional to 8,140.80, 12,211.20 and 4,454.40

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Solution

The fourth proportional to 8,140.80, 12,211.20 and 4,454.40 is: 6,681.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.80 : 12,211.20 = 4,454.40 : x
  2. Step 2: Convert to fraction form
    8,140.80/12,211.20 = 4,454.40/x
  3. Step 3: Cross multiply
    8,140.80x = 12,211.20 × 4,454.40
  4. Step 4: Simplify right side
    8,140.80x = 54,393,569.28
  5. Step 5: Solve for x
    x = 54,393,569.28/8,140.80
  6. Step 6: Final answer
    x = 6,681.60

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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.