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Finding the Fourth Proportional to 7,488, 11,232.18 and 2,294.28

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Solution

The fourth proportional to 7,488, 11,232.18 and 2,294.28 is: 3,441.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,488 : 11,232.18 = 2,294.28 : x
  2. Step 2: Convert to fraction form
    7,488/11,232.18 = 2,294.28/x
  3. Step 3: Cross multiply
    7,488x = 11,232.18 × 2,294.28
  4. Step 4: Simplify right side
    7,488x = 25,769,765.93
  5. Step 5: Solve for x
    x = 25,769,765.93/7,488
  6. Step 6: Final answer
    x = 3,441.48

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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.