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Finding the Fourth Proportional to 8,884.31, 13,324.13 and 2,642.64

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Solution

The fourth proportional to 8,884.31, 13,324.13 and 2,642.64 is: 3,963.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,884.31 : 13,324.13 = 2,642.64 : x
  2. Step 2: Convert to fraction form
    8,884.31/13,324.13 = 2,642.64/x
  3. Step 3: Cross multiply
    8,884.31x = 13,324.13 × 2,642.64
  4. Step 4: Simplify right side
    8,884.31x = 35,210,835.54
  5. Step 5: Solve for x
    x = 35,210,835.54/8,884.31
  6. Step 6: Final answer
    x = 3,963.26

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Why These Related Problems?

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