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Finding the Fourth Proportional to 8,194.53, 12,293.31 and 4,037.40

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Solution

The fourth proportional to 8,194.53, 12,293.31 and 4,037.40 is: 6,056.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,194.53 : 12,293.31 = 4,037.40 : x
  2. Step 2: Convert to fraction form
    8,194.53/12,293.31 = 4,037.40/x
  3. Step 3: Cross multiply
    8,194.53x = 12,293.31 × 4,037.40
  4. Step 4: Simplify right side
    8,194.53x = 49,633,009.79
  5. Step 5: Solve for x
    x = 49,633,009.79/8,194.53
  6. Step 6: Final answer
    x = 6,056.85

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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.