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Finding the Fourth Proportional to 8,438.86, 12,657.97 and 2,595.31

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Solution

The fourth proportional to 8,438.86, 12,657.97 and 2,595.31 is: 3,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.86 : 12,657.97 = 2,595.31 : x
  2. Step 2: Convert to fraction form
    8,438.86/12,657.97 = 2,595.31/x
  3. Step 3: Cross multiply
    8,438.86x = 12,657.97 × 2,595.31
  4. Step 4: Simplify right side
    8,438.86x = 32,851,356.12
  5. Step 5: Solve for x
    x = 32,851,356.12/8,438.86
  6. Step 6: Final answer
    x = 3,892.87

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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.