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Finding the Fourth Proportional to 8,309.16, 12,468.70 and 3,378.42

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Solution

The fourth proportional to 8,309.16, 12,468.70 and 3,378.42 is: 5,069.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.16 : 12,468.70 = 3,378.42 : x
  2. Step 2: Convert to fraction form
    8,309.16/12,468.70 = 3,378.42/x
  3. Step 3: Cross multiply
    8,309.16x = 12,468.70 × 3,378.42
  4. Step 4: Simplify right side
    8,309.16x = 42,124,505.45
  5. Step 5: Solve for x
    x = 42,124,505.45/8,309.16
  6. Step 6: Final answer
    x = 5,069.65

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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.