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Finding the Fourth Proportional to 6,280.24, 8,654.40 and 5,676.16

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Solution

The fourth proportional to 6,280.24, 8,654.40 and 5,676.16 is: 7,821.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,280.24 : 8,654.40 = 5,676.16 : x
  2. Step 2: Convert to fraction form
    6,280.24/8,654.40 = 5,676.16/x
  3. Step 3: Cross multiply
    6,280.24x = 8,654.40 × 5,676.16
  4. Step 4: Simplify right side
    6,280.24x = 49,123,759.10
  5. Step 5: Solve for x
    x = 49,123,759.10/6,280.24
  6. Step 6: Final answer
    x = 7,821.96

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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.