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Finding the Fourth Proportional to 11,160.81, 16,743.96 and 7,880.31

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Solution

The fourth proportional to 11,160.81, 16,743.96 and 7,880.31 is: 11,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,160.81 : 16,743.96 = 7,880.31 : x
  2. Step 2: Convert to fraction form
    11,160.81/16,743.96 = 7,880.31/x
  3. Step 3: Cross multiply
    11,160.81x = 16,743.96 × 7,880.31
  4. Step 4: Simplify right side
    11,160.81x = 131,947,595.43
  5. Step 5: Solve for x
    x = 131,947,595.43/11,160.81
  6. Step 6: Final answer
    x = 11,822.40

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.