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Finding the Fourth Proportional to 7,422.57, 11,133.99 and 2,678.54

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Solution

The fourth proportional to 7,422.57, 11,133.99 and 2,678.54 is: 4,017.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,422.57 : 11,133.99 = 2,678.54 : x
  2. Step 2: Convert to fraction form
    7,422.57/11,133.99 = 2,678.54/x
  3. Step 3: Cross multiply
    7,422.57x = 11,133.99 × 2,678.54
  4. Step 4: Simplify right side
    7,422.57x = 29,822,781.90
  5. Step 5: Solve for x
    x = 29,822,781.90/7,422.57
  6. Step 6: Final answer
    x = 4,017.85

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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.