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Finding the Fourth Proportional to 8,135.32, 11,218.52 and 6,638.44

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Solution

The fourth proportional to 8,135.32, 11,218.52 and 6,638.44 is: 9,154.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,135.32 : 11,218.52 = 6,638.44 : x
  2. Step 2: Convert to fraction form
    8,135.32/11,218.52 = 6,638.44/x
  3. Step 3: Cross multiply
    8,135.32x = 11,218.52 × 6,638.44
  4. Step 4: Simplify right side
    8,135.32x = 74,473,471.91
  5. Step 5: Solve for x
    x = 74,473,471.91/8,135.32
  6. Step 6: Final answer
    x = 9,154.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.