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Finding the Fourth Proportional to 10,722.78, 14,805.28 and 7,745.22

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Solution

The fourth proportional to 10,722.78, 14,805.28 and 7,745.22 is: 10,694.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,722.78 : 14,805.28 = 7,745.22 : x
  2. Step 2: Convert to fraction form
    10,722.78/14,805.28 = 7,745.22/x
  3. Step 3: Cross multiply
    10,722.78x = 14,805.28 × 7,745.22
  4. Step 4: Simplify right side
    10,722.78x = 114,670,150.76
  5. Step 5: Solve for x
    x = 114,670,150.76/10,722.78
  6. Step 6: Final answer
    x = 10,694.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.