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Finding the Fourth Proportional to 10,849.65, 16,266.27 and 8,657.18

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Solution

The fourth proportional to 10,849.65, 16,266.27 and 8,657.18 is: 12,979.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,849.65 : 16,266.27 = 8,657.18 : x
  2. Step 2: Convert to fraction form
    10,849.65/16,266.27 = 8,657.18/x
  3. Step 3: Cross multiply
    10,849.65x = 16,266.27 × 8,657.18
  4. Step 4: Simplify right side
    10,849.65x = 140,819,990.75
  5. Step 5: Solve for x
    x = 140,819,990.75/10,849.65
  6. Step 6: Final answer
    x = 12,979.22

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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.