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Finding the Fourth Proportional to 8,439.86, 12,659.46 and 2,596.32

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Solution

The fourth proportional to 8,439.86, 12,659.46 and 2,596.32 is: 3,894.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,439.86 : 12,659.46 = 2,596.32 : x
  2. Step 2: Convert to fraction form
    8,439.86/12,659.46 = 2,596.32/x
  3. Step 3: Cross multiply
    8,439.86x = 12,659.46 × 2,596.32
  4. Step 4: Simplify right side
    8,439.86x = 32,868,009.19
  5. Step 5: Solve for x
    x = 32,868,009.19/8,439.86
  6. Step 6: Final answer
    x = 3,894.38

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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.