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Finding the Fourth Proportional to 7,244.32, 10,862.78 and 3,541

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Solution

The fourth proportional to 7,244.32, 10,862.78 and 3,541 is: 5,309.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,244.32 : 10,862.78 = 3,541 : x
  2. Step 2: Convert to fraction form
    7,244.32/10,862.78 = 3,541/x
  3. Step 3: Cross multiply
    7,244.32x = 10,862.78 × 3,541
  4. Step 4: Simplify right side
    7,244.32x = 38,465,103.98
  5. Step 5: Solve for x
    x = 38,465,103.98/7,244.32
  6. Step 6: Final answer
    x = 5,309.69

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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.