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Finding the Fourth Proportional to 10,105.68, 15,141.40 and 7,169.36

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Solution

The fourth proportional to 10,105.68, 15,141.40 and 7,169.36 is: 10,741.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,105.68 : 15,141.40 = 7,169.36 : x
  2. Step 2: Convert to fraction form
    10,105.68/15,141.40 = 7,169.36/x
  3. Step 3: Cross multiply
    10,105.68x = 15,141.40 × 7,169.36
  4. Step 4: Simplify right side
    10,105.68x = 108,554,147.50
  5. Step 5: Solve for x
    x = 108,554,147.50/10,105.68
  6. Step 6: Final answer
    x = 10,741.89

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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.