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Finding the Fourth Proportional to 8,419.51, 12,630.68 and 2,574.75

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Solution

The fourth proportional to 8,419.51, 12,630.68 and 2,574.75 is: 3,862.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.51 : 12,630.68 = 2,574.75 : x
  2. Step 2: Convert to fraction form
    8,419.51/12,630.68 = 2,574.75/x
  3. Step 3: Cross multiply
    8,419.51x = 12,630.68 × 2,574.75
  4. Step 4: Simplify right side
    8,419.51x = 32,520,843.33
  5. Step 5: Solve for x
    x = 32,520,843.33/8,419.51
  6. Step 6: Final answer
    x = 3,862.56

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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.