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Finding the Fourth Proportional to 12,350.92, 17,040.16 and 7,042

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Solution

The fourth proportional to 12,350.92, 17,040.16 and 7,042 is: 9,715.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,350.92 : 17,040.16 = 7,042 : x
  2. Step 2: Convert to fraction form
    12,350.92/17,040.16 = 7,042/x
  3. Step 3: Cross multiply
    12,350.92x = 17,040.16 × 7,042
  4. Step 4: Simplify right side
    12,350.92x = 119,996,806.72
  5. Step 5: Solve for x
    x = 119,996,806.72/12,350.92
  6. Step 6: Final answer
    x = 9,715.62

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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.