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Finding the Fourth Proportional to 10,888, 16,332.08 and 2,680

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Solution

The fourth proportional to 10,888, 16,332.08 and 2,680 is: 4,020.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,888 : 16,332.08 = 2,680 : x
  2. Step 2: Convert to fraction form
    10,888/16,332.08 = 2,680/x
  3. Step 3: Cross multiply
    10,888x = 16,332.08 × 2,680
  4. Step 4: Simplify right side
    10,888x = 43,769,974.40
  5. Step 5: Solve for x
    x = 43,769,974.40/10,888
  6. Step 6: Final answer
    x = 4,020.02

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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.