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Finding the Fourth Proportional to 8,110.80, 11,207.97 and 7,313.76

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Solution

The fourth proportional to 8,110.80, 11,207.97 and 7,313.76 is: 10,106.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,110.80 : 11,207.97 = 7,313.76 : x
  2. Step 2: Convert to fraction form
    8,110.80/11,207.97 = 7,313.76/x
  3. Step 3: Cross multiply
    8,110.80x = 11,207.97 × 7,313.76
  4. Step 4: Simplify right side
    8,110.80x = 81,972,402.67
  5. Step 5: Solve for x
    x = 81,972,402.67/8,110.80
  6. Step 6: Final answer
    x = 10,106.57

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1.5x scale

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.