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Finding the Fourth Proportional to 8,105.85, 11,188.19 and 5,280.98

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Solution

The fourth proportional to 8,105.85, 11,188.19 and 5,280.98 is: 7,289.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,105.85 : 11,188.19 = 5,280.98 : x
  2. Step 2: Convert to fraction form
    8,105.85/11,188.19 = 5,280.98/x
  3. Step 3: Cross multiply
    8,105.85x = 11,188.19 × 5,280.98
  4. Step 4: Simplify right side
    8,105.85x = 59,084,525.28
  5. Step 5: Solve for x
    x = 59,084,525.28/8,105.85
  6. Step 6: Final answer
    x = 7,289.12

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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.