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Finding the Fourth Proportional to 8,250.47, 12,374.70 and 2,407.09

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Solution

The fourth proportional to 8,250.47, 12,374.70 and 2,407.09 is: 3,610.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,250.47 : 12,374.70 = 2,407.09 : x
  2. Step 2: Convert to fraction form
    8,250.47/12,374.70 = 2,407.09/x
  3. Step 3: Cross multiply
    8,250.47x = 12,374.70 × 2,407.09
  4. Step 4: Simplify right side
    8,250.47x = 29,786,954.75
  5. Step 5: Solve for x
    x = 29,786,954.75/8,250.47
  6. Step 6: Final answer
    x = 3,610.33

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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.