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Finding the Fourth Proportional to 8,309.19, 12,463.72 and 2,069.16

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Solution

The fourth proportional to 8,309.19, 12,463.72 and 2,069.16 is: 3,103.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,309.19 : 12,463.72 = 2,069.16 : x
  2. Step 2: Convert to fraction form
    8,309.19/12,463.72 = 2,069.16/x
  3. Step 3: Cross multiply
    8,309.19x = 12,463.72 × 2,069.16
  4. Step 4: Simplify right side
    8,309.19x = 25,789,430.88
  5. Step 5: Solve for x
    x = 25,789,430.88/8,309.19
  6. Step 6: Final answer
    x = 3,103.72

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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.