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Finding the Fourth Proportional to 10,462.67, 14,440.97 and 5,989

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Solution

The fourth proportional to 10,462.67, 14,440.97 and 5,989 is: 8,266.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.67 : 14,440.97 = 5,989 : x
  2. Step 2: Convert to fraction form
    10,462.67/14,440.97 = 5,989/x
  3. Step 3: Cross multiply
    10,462.67x = 14,440.97 × 5,989
  4. Step 4: Simplify right side
    10,462.67x = 86,486,939.39
  5. Step 5: Solve for x
    x = 86,486,939.39/10,462.67
  6. Step 6: Final answer
    x = 8,266.24

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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.