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Finding the Fourth Proportional to 8,473.86, 12,698.46 and 4,086.18

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Solution

The fourth proportional to 8,473.86, 12,698.46 and 4,086.18 is: 6,123.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.86 : 12,698.46 = 4,086.18 : x
  2. Step 2: Convert to fraction form
    8,473.86/12,698.46 = 4,086.18/x
  3. Step 3: Cross multiply
    8,473.86x = 12,698.46 × 4,086.18
  4. Step 4: Simplify right side
    8,473.86x = 51,888,193.28
  5. Step 5: Solve for x
    x = 51,888,193.28/8,473.86
  6. Step 6: Final answer
    x = 6,123.32

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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.