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Finding the Fourth Proportional to 7,103.97, 10,657.92 and 3,101.70

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Solution

The fourth proportional to 7,103.97, 10,657.92 and 3,101.70 is: 4,653.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,103.97 : 10,657.92 = 3,101.70 : x
  2. Step 2: Convert to fraction form
    7,103.97/10,657.92 = 3,101.70/x
  3. Step 3: Cross multiply
    7,103.97x = 10,657.92 × 3,101.70
  4. Step 4: Simplify right side
    7,103.97x = 33,057,670.46
  5. Step 5: Solve for x
    x = 33,057,670.46/7,103.97
  6. Step 6: Final answer
    x = 4,653.41

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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.