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Finding the Fourth Proportional to 7,242.13, 9,990.66 and 4,257.82

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Solution

The fourth proportional to 7,242.13, 9,990.66 and 4,257.82 is: 5,873.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,242.13 : 9,990.66 = 4,257.82 : x
  2. Step 2: Convert to fraction form
    7,242.13/9,990.66 = 4,257.82/x
  3. Step 3: Cross multiply
    7,242.13x = 9,990.66 × 4,257.82
  4. Step 4: Simplify right side
    7,242.13x = 42,538,431.96
  5. Step 5: Solve for x
    x = 42,538,431.96/7,242.13
  6. Step 6: Final answer
    x = 5,873.75

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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.