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Finding the Fourth Proportional to 11,680.68, 16,119.36 and 7,488.94

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Solution

The fourth proportional to 11,680.68, 16,119.36 and 7,488.94 is: 10,334.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,680.68 : 16,119.36 = 7,488.94 : x
  2. Step 2: Convert to fraction form
    11,680.68/16,119.36 = 7,488.94/x
  3. Step 3: Cross multiply
    11,680.68x = 16,119.36 × 7,488.94
  4. Step 4: Simplify right side
    11,680.68x = 120,716,919.88
  5. Step 5: Solve for x
    x = 120,716,919.88/11,680.68
  6. Step 6: Final answer
    x = 10,334.75

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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.