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Finding the Fourth Proportional to 8,717.36, 13,071.92 and 3,166.80

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Solution

The fourth proportional to 8,717.36, 13,071.92 and 3,166.80 is: 4,748.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.36 : 13,071.92 = 3,166.80 : x
  2. Step 2: Convert to fraction form
    8,717.36/13,071.92 = 3,166.80/x
  3. Step 3: Cross multiply
    8,717.36x = 13,071.92 × 3,166.80
  4. Step 4: Simplify right side
    8,717.36x = 41,396,091.40
  5. Step 5: Solve for x
    x = 41,396,091.40/8,717.36
  6. Step 6: Final answer
    x = 4,748.70

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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.