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Finding the Fourth Proportional to 8,319.86, 12,387.41 and 8,203.62

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Solution

The fourth proportional to 8,319.86, 12,387.41 and 8,203.62 is: 12,214.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,319.86 : 12,387.41 = 8,203.62 : x
  2. Step 2: Convert to fraction form
    8,319.86/12,387.41 = 8,203.62/x
  3. Step 3: Cross multiply
    8,319.86x = 12,387.41 × 8,203.62
  4. Step 4: Simplify right side
    8,319.86x = 101,621,624.93
  5. Step 5: Solve for x
    x = 101,621,624.93/8,319.86
  6. Step 6: Final answer
    x = 12,214.35

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.