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Finding the Fourth Proportional to 10,027.78, 13,839.36 and 5,778.99

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Solution

The fourth proportional to 10,027.78, 13,839.36 and 5,778.99 is: 7,975.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,027.78 : 13,839.36 = 5,778.99 : x
  2. Step 2: Convert to fraction form
    10,027.78/13,839.36 = 5,778.99/x
  3. Step 3: Cross multiply
    10,027.78x = 13,839.36 × 5,778.99
  4. Step 4: Simplify right side
    10,027.78x = 79,977,501.38
  5. Step 5: Solve for x
    x = 79,977,501.38/10,027.78
  6. Step 6: Final answer
    x = 7,975.60

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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.