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Finding the Fourth Proportional to 10,992.77, 15,170.02 and 5,957.02

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Solution

The fourth proportional to 10,992.77, 15,170.02 and 5,957.02 is: 8,220.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,992.77 : 15,170.02 = 5,957.02 : x
  2. Step 2: Convert to fraction form
    10,992.77/15,170.02 = 5,957.02/x
  3. Step 3: Cross multiply
    10,992.77x = 15,170.02 × 5,957.02
  4. Step 4: Simplify right side
    10,992.77x = 90,368,112.54
  5. Step 5: Solve for x
    x = 90,368,112.54/10,992.77
  6. Step 6: Final answer
    x = 8,220.69

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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.