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Finding the Fourth Proportional to 8,489.04, 11,690.66 and 6,127.44

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Solution

The fourth proportional to 8,489.04, 11,690.66 and 6,127.44 is: 8,438.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,489.04 : 11,690.66 = 6,127.44 : x
  2. Step 2: Convert to fraction form
    8,489.04/11,690.66 = 6,127.44/x
  3. Step 3: Cross multiply
    8,489.04x = 11,690.66 × 6,127.44
  4. Step 4: Simplify right side
    8,489.04x = 71,633,787.07
  5. Step 5: Solve for x
    x = 71,633,787.07/8,489.04
  6. Step 6: Final answer
    x = 8,438.38

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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.