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Finding the Fourth Proportional to 8,717.84, 13,054.90 and 6,771.44

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Solution

The fourth proportional to 8,717.84, 13,054.90 and 6,771.44 is: 10,140.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.84 : 13,054.90 = 6,771.44 : x
  2. Step 2: Convert to fraction form
    8,717.84/13,054.90 = 6,771.44/x
  3. Step 3: Cross multiply
    8,717.84x = 13,054.90 × 6,771.44
  4. Step 4: Simplify right side
    8,717.84x = 88,400,472.06
  5. Step 5: Solve for x
    x = 88,400,472.06/8,717.84
  6. Step 6: Final answer
    x = 10,140.18

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.