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Finding the Fourth Proportional to 7,489.08, 11,233.80 and 2,295

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Solution

The fourth proportional to 7,489.08, 11,233.80 and 2,295 is: 3,442.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,489.08 : 11,233.80 = 2,295 : x
  2. Step 2: Convert to fraction form
    7,489.08/11,233.80 = 2,295/x
  3. Step 3: Cross multiply
    7,489.08x = 11,233.80 × 2,295
  4. Step 4: Simplify right side
    7,489.08x = 25,781,571
  5. Step 5: Solve for x
    x = 25,781,571/7,489.08
  6. Step 6: Final answer
    x = 3,442.56

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.