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Finding the Fourth Proportional to 7,486.84, 11,230.62 and 2,293.12

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Solution

The fourth proportional to 7,486.84, 11,230.62 and 2,293.12 is: 3,439.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,486.84 : 11,230.62 = 2,293.12 : x
  2. Step 2: Convert to fraction form
    7,486.84/11,230.62 = 2,293.12/x
  3. Step 3: Cross multiply
    7,486.84x = 11,230.62 × 2,293.12
  4. Step 4: Simplify right side
    7,486.84x = 25,753,159.33
  5. Step 5: Solve for x
    x = 25,753,159.33/7,486.84
  6. Step 6: Final answer
    x = 3,439.79

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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.