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Finding the Fourth Proportional to 10,069.78, 13,895.70 and 5,593.27

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Solution

The fourth proportional to 10,069.78, 13,895.70 and 5,593.27 is: 7,718.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,069.78 : 13,895.70 = 5,593.27 : x
  2. Step 2: Convert to fraction form
    10,069.78/13,895.70 = 5,593.27/x
  3. Step 3: Cross multiply
    10,069.78x = 13,895.70 × 5,593.27
  4. Step 4: Simplify right side
    10,069.78x = 77,722,401.94
  5. Step 5: Solve for x
    x = 77,722,401.94/10,069.78
  6. Step 6: Final answer
    x = 7,718.38

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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.