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Finding the Fourth Proportional to 11,679.75, 16,118.06 and 7,488

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Solution

The fourth proportional to 11,679.75, 16,118.06 and 7,488 is: 10,333.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,679.75 : 16,118.06 = 7,488 : x
  2. Step 2: Convert to fraction form
    11,679.75/16,118.06 = 7,488/x
  3. Step 3: Cross multiply
    11,679.75x = 16,118.06 × 7,488
  4. Step 4: Simplify right side
    11,679.75x = 120,692,033.28
  5. Step 5: Solve for x
    x = 120,692,033.28/11,679.75
  6. Step 6: Final answer
    x = 10,333.44

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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.