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Finding the Fourth Proportional to 8,724.66, 13,073 and 8,494.02

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Solution

The fourth proportional to 8,724.66, 13,073 and 8,494.02 is: 12,727.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,724.66 : 13,073 = 8,494.02 : x
  2. Step 2: Convert to fraction form
    8,724.66/13,073 = 8,494.02/x
  3. Step 3: Cross multiply
    8,724.66x = 13,073 × 8,494.02
  4. Step 4: Simplify right side
    8,724.66x = 111,042,323.46
  5. Step 5: Solve for x
    x = 111,042,323.46/8,724.66
  6. Step 6: Final answer
    x = 12,727.41

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Why These Related Problems?

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