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Finding the Fourth Proportional to 7,378.97, 11,064.33 and 2,447.28

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Solution

The fourth proportional to 7,378.97, 11,064.33 and 2,447.28 is: 3,669.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,378.97 : 11,064.33 = 2,447.28 : x
  2. Step 2: Convert to fraction form
    7,378.97/11,064.33 = 2,447.28/x
  3. Step 3: Cross multiply
    7,378.97x = 11,064.33 × 2,447.28
  4. Step 4: Simplify right side
    7,378.97x = 27,077,513.52
  5. Step 5: Solve for x
    x = 27,077,513.52/7,378.97
  6. Step 6: Final answer
    x = 3,669.55

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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.