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Finding the Fourth Proportional to 8,290.23, 12,431.03 and 3,091.83

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Solution

The fourth proportional to 8,290.23, 12,431.03 and 3,091.83 is: 4,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,290.23 : 12,431.03 = 3,091.83 : x
  2. Step 2: Convert to fraction form
    8,290.23/12,431.03 = 3,091.83/x
  3. Step 3: Cross multiply
    8,290.23x = 12,431.03 × 3,091.83
  4. Step 4: Simplify right side
    8,290.23x = 38,434,616.03
  5. Step 5: Solve for x
    x = 38,434,616.03/8,290.23
  6. Step 6: Final answer
    x = 4,636.13

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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.