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Finding the Fourth Proportional to 8,077.54, 11,132.49 and 5,978.02

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Solution

The fourth proportional to 8,077.54, 11,132.49 and 5,978.02 is: 8,238.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,077.54 : 11,132.49 = 5,978.02 : x
  2. Step 2: Convert to fraction form
    8,077.54/11,132.49 = 5,978.02/x
  3. Step 3: Cross multiply
    8,077.54x = 11,132.49 × 5,978.02
  4. Step 4: Simplify right side
    8,077.54x = 66,550,247.87
  5. Step 5: Solve for x
    x = 66,550,247.87/8,077.54
  6. Step 6: Final answer
    x = 8,238.93

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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.