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Finding the Fourth Proportional to 8,694.91, 13,059.84 and 5,191.78

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Solution

The fourth proportional to 8,694.91, 13,059.84 and 5,191.78 is: 7,798.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,694.91 : 13,059.84 = 5,191.78 : x
  2. Step 2: Convert to fraction form
    8,694.91/13,059.84 = 5,191.78/x
  3. Step 3: Cross multiply
    8,694.91x = 13,059.84 × 5,191.78
  4. Step 4: Simplify right side
    8,694.91x = 67,803,816.12
  5. Step 5: Solve for x
    x = 67,803,816.12/8,694.91
  6. Step 6: Final answer
    x = 7,798.10

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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.