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Finding the Fourth Proportional to 6,113.67, 9,180.45 and 5,658.90

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Solution

The fourth proportional to 6,113.67, 9,180.45 and 5,658.90 is: 8,497.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,113.67 : 9,180.45 = 5,658.90 : x
  2. Step 2: Convert to fraction form
    6,113.67/9,180.45 = 5,658.90/x
  3. Step 3: Cross multiply
    6,113.67x = 9,180.45 × 5,658.90
  4. Step 4: Simplify right side
    6,113.67x = 51,951,248.51
  5. Step 5: Solve for x
    x = 51,951,248.51/6,113.67
  6. Step 6: Final answer
    x = 8,497.56

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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.