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Finding the Fourth Proportional to 11,153.76, 15,391.70 and 6,680

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Solution

The fourth proportional to 11,153.76, 15,391.70 and 6,680 is: 9,218.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,153.76 : 15,391.70 = 6,680 : x
  2. Step 2: Convert to fraction form
    11,153.76/15,391.70 = 6,680/x
  3. Step 3: Cross multiply
    11,153.76x = 15,391.70 × 6,680
  4. Step 4: Simplify right side
    11,153.76x = 102,816,556
  5. Step 5: Solve for x
    x = 102,816,556/11,153.76
  6. Step 6: Final answer
    x = 9,218.11

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Why These Related Problems?

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