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Finding the Fourth Proportional to 8,167.86, 11,272.48 and 4,811.72

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Solution

The fourth proportional to 8,167.86, 11,272.48 and 4,811.72 is: 6,640.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,167.86 : 11,272.48 = 4,811.72 : x
  2. Step 2: Convert to fraction form
    8,167.86/11,272.48 = 4,811.72/x
  3. Step 3: Cross multiply
    8,167.86x = 11,272.48 × 4,811.72
  4. Step 4: Simplify right side
    8,167.86x = 54,240,017.47
  5. Step 5: Solve for x
    x = 54,240,017.47/8,167.86
  6. Step 6: Final answer
    x = 6,640.66

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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.