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Finding the Fourth Proportional to 7,761.58, 11,642.55 and 2,215.42

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Solution

The fourth proportional to 7,761.58, 11,642.55 and 2,215.42 is: 3,323.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,761.58 : 11,642.55 = 2,215.42 : x
  2. Step 2: Convert to fraction form
    7,761.58/11,642.55 = 2,215.42/x
  3. Step 3: Cross multiply
    7,761.58x = 11,642.55 × 2,215.42
  4. Step 4: Simplify right side
    7,761.58x = 25,793,138.12
  5. Step 5: Solve for x
    x = 25,793,138.12/7,761.58
  6. Step 6: Final answer
    x = 3,323.18

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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.