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Finding the Fourth Proportional to 10,158, 14,019.66 and 5,965.44

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Solution

The fourth proportional to 10,158, 14,019.66 and 5,965.44 is: 8,233.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,158 : 14,019.66 = 5,965.44 : x
  2. Step 2: Convert to fraction form
    10,158/14,019.66 = 5,965.44/x
  3. Step 3: Cross multiply
    10,158x = 14,019.66 × 5,965.44
  4. Step 4: Simplify right side
    10,158x = 83,633,440.55
  5. Step 5: Solve for x
    x = 83,633,440.55/10,158
  6. Step 6: Final answer
    x = 8,233.26

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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.