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Finding the Fourth Proportional to 8,140.86, 12,194.01 and 5,509.98

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Solution

The fourth proportional to 8,140.86, 12,194.01 and 5,509.98 is: 8,253.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,140.86 : 12,194.01 = 5,509.98 : x
  2. Step 2: Convert to fraction form
    8,140.86/12,194.01 = 5,509.98/x
  3. Step 3: Cross multiply
    8,140.86x = 12,194.01 × 5,509.98
  4. Step 4: Simplify right side
    8,140.86x = 67,188,751.22
  5. Step 5: Solve for x
    x = 67,188,751.22/8,140.86
  6. Step 6: Final answer
    x = 8,253.27

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.