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Finding the Fourth Proportional to 11,920.70, 16,446.76 and 6,884.25

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Solution

The fourth proportional to 11,920.70, 16,446.76 and 6,884.25 is: 9,498.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,920.70 : 16,446.76 = 6,884.25 : x
  2. Step 2: Convert to fraction form
    11,920.70/16,446.76 = 6,884.25/x
  3. Step 3: Cross multiply
    11,920.70x = 16,446.76 × 6,884.25
  4. Step 4: Simplify right side
    11,920.70x = 113,223,590.32
  5. Step 5: Solve for x
    x = 113,223,590.32/11,920.70
  6. Step 6: Final answer
    x = 9,498.07

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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.