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Finding the Fourth Proportional to 8,723.64, 13,091.16 and 5,211

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Solution

The fourth proportional to 8,723.64, 13,091.16 and 5,211 is: 7,819.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,723.64 : 13,091.16 = 5,211 : x
  2. Step 2: Convert to fraction form
    8,723.64/13,091.16 = 5,211/x
  3. Step 3: Cross multiply
    8,723.64x = 13,091.16 × 5,211
  4. Step 4: Simplify right side
    8,723.64x = 68,218,034.76
  5. Step 5: Solve for x
    x = 68,218,034.76/8,723.64
  6. Step 6: Final answer
    x = 7,819.90

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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.