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Finding the Fourth Proportional to 8,716.83, 13,064.49 and 3,446.52

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Solution

The fourth proportional to 8,716.83, 13,064.49 and 3,446.52 is: 5,165.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.83 : 13,064.49 = 3,446.52 : x
  2. Step 2: Convert to fraction form
    8,716.83/13,064.49 = 3,446.52/x
  3. Step 3: Cross multiply
    8,716.83x = 13,064.49 × 3,446.52
  4. Step 4: Simplify right side
    8,716.83x = 45,027,026.07
  5. Step 5: Solve for x
    x = 45,027,026.07/8,716.83
  6. Step 6: Final answer
    x = 5,165.53

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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.