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Finding the Fourth Proportional to 10,122.72, 13,969.17 and 5,646.39

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Solution

The fourth proportional to 10,122.72, 13,969.17 and 5,646.39 is: 7,791.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,122.72 : 13,969.17 = 5,646.39 : x
  2. Step 2: Convert to fraction form
    10,122.72/13,969.17 = 5,646.39/x
  3. Step 3: Cross multiply
    10,122.72x = 13,969.17 × 5,646.39
  4. Step 4: Simplify right side
    10,122.72x = 78,875,381.80
  5. Step 5: Solve for x
    x = 78,875,381.80/10,122.72
  6. Step 6: Final answer
    x = 7,791.92

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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.