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Finding the Fourth Proportional to 10,304.73, 14,220.62 and 5,589

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Solution

The fourth proportional to 10,304.73, 14,220.62 and 5,589 is: 7,712.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,304.73 : 14,220.62 = 5,589 : x
  2. Step 2: Convert to fraction form
    10,304.73/14,220.62 = 5,589/x
  3. Step 3: Cross multiply
    10,304.73x = 14,220.62 × 5,589
  4. Step 4: Simplify right side
    10,304.73x = 79,479,017.24
  5. Step 5: Solve for x
    x = 79,479,017.24/10,304.73
  6. Step 6: Final answer
    x = 7,712.87

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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.