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Finding the Fourth Proportional to 8,301.59, 11,456.39 and 4,716.46

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Solution

The fourth proportional to 8,301.59, 11,456.39 and 4,716.46 is: 6,508.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,301.59 : 11,456.39 = 4,716.46 : x
  2. Step 2: Convert to fraction form
    8,301.59/11,456.39 = 4,716.46/x
  3. Step 3: Cross multiply
    8,301.59x = 11,456.39 × 4,716.46
  4. Step 4: Simplify right side
    8,301.59x = 54,033,588.33
  5. Step 5: Solve for x
    x = 54,033,588.33/8,301.59
  6. Step 6: Final answer
    x = 6,508.83

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