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Finding the Fourth Proportional to 8,489.56, 11,716.23 and 4,952.02

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Solution

The fourth proportional to 8,489.56, 11,716.23 and 4,952.02 is: 6,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.56 : 11,716.23 = 4,952.02 : x
  2. Step 2: Convert to fraction form
    8,489.56/11,716.23 = 4,952.02/x
  3. Step 3: Cross multiply
    8,489.56x = 11,716.23 × 4,952.02
  4. Step 4: Simplify right side
    8,489.56x = 58,019,005.28
  5. Step 5: Solve for x
    x = 58,019,005.28/8,489.56
  6. Step 6: Final answer
    x = 6,834.16

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.