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Finding the Fourth Proportional to 8,089.32, 12,140.50 and 4,194.84

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Solution

The fourth proportional to 8,089.32, 12,140.50 and 4,194.84 is: 6,295.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.32 : 12,140.50 = 4,194.84 : x
  2. Step 2: Convert to fraction form
    8,089.32/12,140.50 = 4,194.84/x
  3. Step 3: Cross multiply
    8,089.32x = 12,140.50 × 4,194.84
  4. Step 4: Simplify right side
    8,089.32x = 50,927,455.02
  5. Step 5: Solve for x
    x = 50,927,455.02/8,089.32
  6. Step 6: Final answer
    x = 6,295.64

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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.