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Finding the Fourth Proportional to 8,488.85, 11,716.44 and 6,477.49

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Solution

The fourth proportional to 8,488.85, 11,716.44 and 6,477.49 is: 8,940.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,488.85 : 11,716.44 = 6,477.49 : x
  2. Step 2: Convert to fraction form
    8,488.85/11,716.44 = 6,477.49/x
  3. Step 3: Cross multiply
    8,488.85x = 11,716.44 × 6,477.49
  4. Step 4: Simplify right side
    8,488.85x = 75,893,064.35
  5. Step 5: Solve for x
    x = 75,893,064.35/8,488.85
  6. Step 6: Final answer
    x = 8,940.33

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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.