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Finding the Fourth Proportional to 8,078.32, 11,142.12 and 6,088.96

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Solution

The fourth proportional to 8,078.32, 11,142.12 and 6,088.96 is: 8,398.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,078.32 : 11,142.12 = 6,088.96 : x
  2. Step 2: Convert to fraction form
    8,078.32/11,142.12 = 6,088.96/x
  3. Step 3: Cross multiply
    8,078.32x = 11,142.12 × 6,088.96
  4. Step 4: Simplify right side
    8,078.32x = 67,843,923.00
  5. Step 5: Solve for x
    x = 67,843,923.00/8,078.32
  6. Step 6: Final answer
    x = 8,398.27

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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.