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Finding the Fourth Proportional to 8,713.86, 12,026.21 and 5,177.09

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Solution

The fourth proportional to 8,713.86, 12,026.21 and 5,177.09 is: 7,145.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,713.86 : 12,026.21 = 5,177.09 : x
  2. Step 2: Convert to fraction form
    8,713.86/12,026.21 = 5,177.09/x
  3. Step 3: Cross multiply
    8,713.86x = 12,026.21 × 5,177.09
  4. Step 4: Simplify right side
    8,713.86x = 62,260,771.53
  5. Step 5: Solve for x
    x = 62,260,771.53/8,713.86
  6. Step 6: Final answer
    x = 7,145.03

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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.