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Finding the Fourth Proportional to 8,286.78, 11,420.73 and 6,045.06

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Solution

The fourth proportional to 8,286.78, 11,420.73 and 6,045.06 is: 8,331.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.78 : 11,420.73 = 6,045.06 : x
  2. Step 2: Convert to fraction form
    8,286.78/11,420.73 = 6,045.06/x
  3. Step 3: Cross multiply
    8,286.78x = 11,420.73 × 6,045.06
  4. Step 4: Simplify right side
    8,286.78x = 69,038,998.09
  5. Step 5: Solve for x
    x = 69,038,998.09/8,286.78
  6. Step 6: Final answer
    x = 8,331.22

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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.