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Finding the Fourth Proportional to 11,407.06, 15,747.87 and 8,052.94

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Solution

The fourth proportional to 11,407.06, 15,747.87 and 8,052.94 is: 11,117.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,407.06 : 15,747.87 = 8,052.94 : x
  2. Step 2: Convert to fraction form
    11,407.06/15,747.87 = 8,052.94/x
  3. Step 3: Cross multiply
    11,407.06x = 15,747.87 × 8,052.94
  4. Step 4: Simplify right side
    11,407.06x = 126,816,652.24
  5. Step 5: Solve for x
    x = 126,816,652.24/11,407.06
  6. Step 6: Final answer
    x = 11,117.38

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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.