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Finding the Fourth Proportional to 7,154.47, 10,734.66 and 3,863.69

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Solution

The fourth proportional to 7,154.47, 10,734.66 and 3,863.69 is: 5,797.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,154.47 : 10,734.66 = 3,863.69 : x
  2. Step 2: Convert to fraction form
    7,154.47/10,734.66 = 3,863.69/x
  3. Step 3: Cross multiply
    7,154.47x = 10,734.66 × 3,863.69
  4. Step 4: Simplify right side
    7,154.47x = 41,475,398.50
  5. Step 5: Solve for x
    x = 41,475,398.50/7,154.47
  6. Step 6: Final answer
    x = 5,797.13

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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.