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Finding the Fourth Proportional to 7,129.64, 10,696.25 and 2,747.41

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Solution

The fourth proportional to 7,129.64, 10,696.25 and 2,747.41 is: 4,121.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.64 : 10,696.25 = 2,747.41 : x
  2. Step 2: Convert to fraction form
    7,129.64/10,696.25 = 2,747.41/x
  3. Step 3: Cross multiply
    7,129.64x = 10,696.25 × 2,747.41
  4. Step 4: Simplify right side
    7,129.64x = 29,386,964.34
  5. Step 5: Solve for x
    x = 29,386,964.34/7,129.64
  6. Step 6: Final answer
    x = 4,121.80

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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.