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Finding the Fourth Proportional to 8,101.32, 11,106.92 and 7,953.71

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Solution

The fourth proportional to 8,101.32, 11,106.92 and 7,953.71 is: 10,904.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.32 : 11,106.92 = 7,953.71 : x
  2. Step 2: Convert to fraction form
    8,101.32/11,106.92 = 7,953.71/x
  3. Step 3: Cross multiply
    8,101.32x = 11,106.92 × 7,953.71
  4. Step 4: Simplify right side
    8,101.32x = 88,341,125.37
  5. Step 5: Solve for x
    x = 88,341,125.37/8,101.32
  6. Step 6: Final answer
    x = 10,904.53

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.