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Finding the Fourth Proportional to 10,844.57, 16,266.76 and 8,667.16

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Solution

The fourth proportional to 10,844.57, 16,266.76 and 8,667.16 is: 13,000.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,844.57 : 16,266.76 = 8,667.16 : x
  2. Step 2: Convert to fraction form
    10,844.57/16,266.76 = 8,667.16/x
  3. Step 3: Cross multiply
    10,844.57x = 16,266.76 × 8,667.16
  4. Step 4: Simplify right side
    10,844.57x = 140,986,549.27
  5. Step 5: Solve for x
    x = 140,986,549.27/10,844.57
  6. Step 6: Final answer
    x = 13,000.66

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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.