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Finding the Fourth Proportional to 10,616.33, 14,654.51 and 7,971.38

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Solution

The fourth proportional to 10,616.33, 14,654.51 and 7,971.38 is: 11,003.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,616.33 : 14,654.51 = 7,971.38 : x
  2. Step 2: Convert to fraction form
    10,616.33/14,654.51 = 7,971.38/x
  3. Step 3: Cross multiply
    10,616.33x = 14,654.51 × 7,971.38
  4. Step 4: Simplify right side
    10,616.33x = 116,816,554.79
  5. Step 5: Solve for x
    x = 116,816,554.79/10,616.33
  6. Step 6: Final answer
    x = 11,003.48

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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.