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Finding the Fourth Proportional to 8,304.47, 11,471.38 and 6,637.55

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Solution

The fourth proportional to 8,304.47, 11,471.38 and 6,637.55 is: 9,168.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,304.47 : 11,471.38 = 6,637.55 : x
  2. Step 2: Convert to fraction form
    8,304.47/11,471.38 = 6,637.55/x
  3. Step 3: Cross multiply
    8,304.47x = 11,471.38 × 6,637.55
  4. Step 4: Simplify right side
    8,304.47x = 76,141,870.40
  5. Step 5: Solve for x
    x = 76,141,870.40/8,304.47
  6. Step 6: Final answer
    x = 9,168.79

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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.