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Finding the Fourth Proportional to 12,410.70, 17,127.53 and 7,105.39

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Solution

The fourth proportional to 12,410.70, 17,127.53 and 7,105.39 is: 9,805.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,410.70 : 17,127.53 = 7,105.39 : x
  2. Step 2: Convert to fraction form
    12,410.70/17,127.53 = 7,105.39/x
  3. Step 3: Cross multiply
    12,410.70x = 17,127.53 × 7,105.39
  4. Step 4: Simplify right side
    12,410.70x = 121,697,780.39
  5. Step 5: Solve for x
    x = 121,697,780.39/12,410.70
  6. Step 6: Final answer
    x = 9,805.88

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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.