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Finding the Fourth Proportional to 8,289.88, 12,431.58 and 3,094.12

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Solution

The fourth proportional to 8,289.88, 12,431.58 and 3,094.12 is: 4,639.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,289.88 : 12,431.58 = 3,094.12 : x
  2. Step 2: Convert to fraction form
    8,289.88/12,431.58 = 3,094.12/x
  3. Step 3: Cross multiply
    8,289.88x = 12,431.58 × 3,094.12
  4. Step 4: Simplify right side
    8,289.88x = 38,464,800.31
  5. Step 5: Solve for x
    x = 38,464,800.31/8,289.88
  6. Step 6: Final answer
    x = 4,639.97

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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.