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Finding the Fourth Proportional to 7,552.82, 10,422.66 and 4,149.83

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Solution

The fourth proportional to 7,552.82, 10,422.66 and 4,149.83 is: 5,726.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,552.82 : 10,422.66 = 4,149.83 : x
  2. Step 2: Convert to fraction form
    7,552.82/10,422.66 = 4,149.83/x
  3. Step 3: Cross multiply
    7,552.82x = 10,422.66 × 4,149.83
  4. Step 4: Simplify right side
    7,552.82x = 43,252,230.60
  5. Step 5: Solve for x
    x = 43,252,230.60/7,552.82
  6. Step 6: Final answer
    x = 5,726.63

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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.