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Finding the Fourth Proportional to 11,352.78, 15,660.36 and 6,814.25

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Solution

The fourth proportional to 11,352.78, 15,660.36 and 6,814.25 is: 9,399.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,352.78 : 15,660.36 = 6,814.25 : x
  2. Step 2: Convert to fraction form
    11,352.78/15,660.36 = 6,814.25/x
  3. Step 3: Cross multiply
    11,352.78x = 15,660.36 × 6,814.25
  4. Step 4: Simplify right side
    11,352.78x = 106,713,647.28
  5. Step 5: Solve for x
    x = 106,713,647.28/11,352.78
  6. Step 6: Final answer
    x = 9,399.78

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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.