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Finding the Fourth Proportional to 7,442.98, 11,162.78 and 2,176.90

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Solution

The fourth proportional to 7,442.98, 11,162.78 and 2,176.90 is: 3,264.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,442.98 : 11,162.78 = 2,176.90 : x
  2. Step 2: Convert to fraction form
    7,442.98/11,162.78 = 2,176.90/x
  3. Step 3: Cross multiply
    7,442.98x = 11,162.78 × 2,176.90
  4. Step 4: Simplify right side
    7,442.98x = 24,300,255.78
  5. Step 5: Solve for x
    x = 24,300,255.78/7,442.98
  6. Step 6: Final answer
    x = 3,264.86

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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.