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Finding the Fourth Proportional to 8,170.92, 11,275.54 and 4,634.06

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Solution

The fourth proportional to 8,170.92, 11,275.54 and 4,634.06 is: 6,394.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,170.92 : 11,275.54 = 4,634.06 : x
  2. Step 2: Convert to fraction form
    8,170.92/11,275.54 = 4,634.06/x
  3. Step 3: Cross multiply
    8,170.92x = 11,275.54 × 4,634.06
  4. Step 4: Simplify right side
    8,170.92x = 52,251,460.93
  5. Step 5: Solve for x
    x = 52,251,460.93/8,170.92
  6. Step 6: Final answer
    x = 6,394.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.