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Finding the Fourth Proportional to 8,112.85, 12,110.59 and 7,128.70

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Solution

The fourth proportional to 8,112.85, 12,110.59 and 7,128.70 is: 10,641.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.85 : 12,110.59 = 7,128.70 : x
  2. Step 2: Convert to fraction form
    8,112.85/12,110.59 = 7,128.70/x
  3. Step 3: Cross multiply
    8,112.85x = 12,110.59 × 7,128.70
  4. Step 4: Simplify right side
    8,112.85x = 86,332,762.93
  5. Step 5: Solve for x
    x = 86,332,762.93/8,112.85
  6. Step 6: Final answer
    x = 10,641.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.