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Finding the Fourth Proportional to 8,730.38, 13,081.40 and 8,406.78

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Solution

The fourth proportional to 8,730.38, 13,081.40 and 8,406.78 is: 12,596.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,730.38 : 13,081.40 = 8,406.78 : x
  2. Step 2: Convert to fraction form
    8,730.38/13,081.40 = 8,406.78/x
  3. Step 3: Cross multiply
    8,730.38x = 13,081.40 × 8,406.78
  4. Step 4: Simplify right side
    8,730.38x = 109,972,451.89
  5. Step 5: Solve for x
    x = 109,972,451.89/8,730.38
  6. Step 6: Final answer
    x = 12,596.53

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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.