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Finding the Fourth Proportional to 11,807.13, 17,690.23 and 8,290.44

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Solution

The fourth proportional to 11,807.13, 17,690.23 and 8,290.44 is: 12,421.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.13 : 17,690.23 = 8,290.44 : x
  2. Step 2: Convert to fraction form
    11,807.13/17,690.23 = 8,290.44/x
  3. Step 3: Cross multiply
    11,807.13x = 17,690.23 × 8,290.44
  4. Step 4: Simplify right side
    11,807.13x = 146,659,790.40
  5. Step 5: Solve for x
    x = 146,659,790.40/11,807.13
  6. Step 6: Final answer
    x = 12,421.30

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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.