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Finding the Fourth Proportional to 8,452.14, 12,689.70 and 4,756.97

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Solution

The fourth proportional to 8,452.14, 12,689.70 and 4,756.97 is: 7,141.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,452.14 : 12,689.70 = 4,756.97 : x
  2. Step 2: Convert to fraction form
    8,452.14/12,689.70 = 4,756.97/x
  3. Step 3: Cross multiply
    8,452.14x = 12,689.70 × 4,756.97
  4. Step 4: Simplify right side
    8,452.14x = 60,364,458.76
  5. Step 5: Solve for x
    x = 60,364,458.76/8,452.14
  6. Step 6: Final answer
    x = 7,141.91

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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.