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Finding the Fourth Proportional to 8,541.56, 11,773.87 and 6,442.04

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Solution

The fourth proportional to 8,541.56, 11,773.87 and 6,442.04 is: 8,879.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,541.56 : 11,773.87 = 6,442.04 : x
  2. Step 2: Convert to fraction form
    8,541.56/11,773.87 = 6,442.04/x
  3. Step 3: Cross multiply
    8,541.56x = 11,773.87 × 6,442.04
  4. Step 4: Simplify right side
    8,541.56x = 75,847,666.52
  5. Step 5: Solve for x
    x = 75,847,666.52/8,541.56
  6. Step 6: Final answer
    x = 8,879.84

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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.