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Finding the Fourth Proportional to 7,494.43, 11,248.54 and 3,799.24

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Solution

The fourth proportional to 7,494.43, 11,248.54 and 3,799.24 is: 5,702.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,494.43 : 11,248.54 = 3,799.24 : x
  2. Step 2: Convert to fraction form
    7,494.43/11,248.54 = 3,799.24/x
  3. Step 3: Cross multiply
    7,494.43x = 11,248.54 × 3,799.24
  4. Step 4: Simplify right side
    7,494.43x = 42,735,903.11
  5. Step 5: Solve for x
    x = 42,735,903.11/7,494.43
  6. Step 6: Final answer
    x = 5,702.36

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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.