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Finding the Fourth Proportional to 8,301.46, 12,454.01 and 2,458.52

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Solution

The fourth proportional to 8,301.46, 12,454.01 and 2,458.52 is: 3,688.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.46 : 12,454.01 = 2,458.52 : x
  2. Step 2: Convert to fraction form
    8,301.46/12,454.01 = 2,458.52/x
  3. Step 3: Cross multiply
    8,301.46x = 12,454.01 × 2,458.52
  4. Step 4: Simplify right side
    8,301.46x = 30,618,432.77
  5. Step 5: Solve for x
    x = 30,618,432.77/8,301.46
  6. Step 6: Final answer
    x = 3,688.32

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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.