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Finding the Fourth Proportional to 7,161.03, 9,879.98 and 4,135.77

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Solution

The fourth proportional to 7,161.03, 9,879.98 and 4,135.77 is: 5,706.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,161.03 : 9,879.98 = 4,135.77 : x
  2. Step 2: Convert to fraction form
    7,161.03/9,879.98 = 4,135.77/x
  3. Step 3: Cross multiply
    7,161.03x = 9,879.98 × 4,135.77
  4. Step 4: Simplify right side
    7,161.03x = 40,861,311.31
  5. Step 5: Solve for x
    x = 40,861,311.31/7,161.03
  6. Step 6: Final answer
    x = 5,706.06

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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.