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Finding the Fourth Proportional to 10,728.50, 16,095.38 and 8,667.18

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Solution

The fourth proportional to 10,728.50, 16,095.38 and 8,667.18 is: 13,002.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,728.50 : 16,095.38 = 8,667.18 : x
  2. Step 2: Convert to fraction form
    10,728.50/16,095.38 = 8,667.18/x
  3. Step 3: Cross multiply
    10,728.50x = 16,095.38 × 8,667.18
  4. Step 4: Simplify right side
    10,728.50x = 139,501,512.29
  5. Step 5: Solve for x
    x = 139,501,512.29/10,728.50
  6. Step 6: Final answer
    x = 13,002.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.