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Finding the Fourth Proportional to 7,901.50, 10,902.64 and 5,105.38

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Solution

The fourth proportional to 7,901.50, 10,902.64 and 5,105.38 is: 7,044.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.50 : 10,902.64 = 5,105.38 : x
  2. Step 2: Convert to fraction form
    7,901.50/10,902.64 = 5,105.38/x
  3. Step 3: Cross multiply
    7,901.50x = 10,902.64 × 5,105.38
  4. Step 4: Simplify right side
    7,901.50x = 55,662,040.16
  5. Step 5: Solve for x
    x = 55,662,040.16/7,901.50
  6. Step 6: Final answer
    x = 7,044.49

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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.