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Finding the Fourth Proportional to 8,209.31, 12,315.80 and 2,365.46

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Solution

The fourth proportional to 8,209.31, 12,315.80 and 2,365.46 is: 3,548.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.31 : 12,315.80 = 2,365.46 : x
  2. Step 2: Convert to fraction form
    8,209.31/12,315.80 = 2,365.46/x
  3. Step 3: Cross multiply
    8,209.31x = 12,315.80 × 2,365.46
  4. Step 4: Simplify right side
    8,209.31x = 29,132,458.86
  5. Step 5: Solve for x
    x = 29,132,458.86/8,209.31
  6. Step 6: Final answer
    x = 3,548.71

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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.