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Finding the Fourth Proportional to 7,001.88, 10,481.07 and 5,236.50

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Solution

The fourth proportional to 7,001.88, 10,481.07 and 5,236.50 is: 7,838.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,001.88 : 10,481.07 = 5,236.50 : x
  2. Step 2: Convert to fraction form
    7,001.88/10,481.07 = 5,236.50/x
  3. Step 3: Cross multiply
    7,001.88x = 10,481.07 × 5,236.50
  4. Step 4: Simplify right side
    7,001.88x = 54,884,123.06
  5. Step 5: Solve for x
    x = 54,884,123.06/7,001.88
  6. Step 6: Final answer
    x = 7,838.48

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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.