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Finding the Fourth Proportional to 8,669.65, 11,960.88 and 5,687.14

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Solution

The fourth proportional to 8,669.65, 11,960.88 and 5,687.14 is: 7,846.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,669.65 : 11,960.88 = 5,687.14 : x
  2. Step 2: Convert to fraction form
    8,669.65/11,960.88 = 5,687.14/x
  3. Step 3: Cross multiply
    8,669.65x = 11,960.88 × 5,687.14
  4. Step 4: Simplify right side
    8,669.65x = 68,023,199.08
  5. Step 5: Solve for x
    x = 68,023,199.08/8,669.65
  6. Step 6: Final answer
    x = 7,846.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.