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Finding the Fourth Proportional to 7,993.72, 11,032.66 and 6,102.20

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Solution

The fourth proportional to 7,993.72, 11,032.66 and 6,102.20 is: 8,422.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.72 : 11,032.66 = 6,102.20 : x
  2. Step 2: Convert to fraction form
    7,993.72/11,032.66 = 6,102.20/x
  3. Step 3: Cross multiply
    7,993.72x = 11,032.66 × 6,102.20
  4. Step 4: Simplify right side
    7,993.72x = 67,323,497.85
  5. Step 5: Solve for x
    x = 67,323,497.85/7,993.72
  6. Step 6: Final answer
    x = 8,422.05

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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.