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Finding the Fourth Proportional to 8,417.90, 11,612.97 and 5,899.09

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Solution

The fourth proportional to 8,417.90, 11,612.97 and 5,899.09 is: 8,138.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,417.90 : 11,612.97 = 5,899.09 : x
  2. Step 2: Convert to fraction form
    8,417.90/11,612.97 = 5,899.09/x
  3. Step 3: Cross multiply
    8,417.90x = 11,612.97 × 5,899.09
  4. Step 4: Simplify right side
    8,417.90x = 68,505,964.27
  5. Step 5: Solve for x
    x = 68,505,964.27/8,417.90
  6. Step 6: Final answer
    x = 8,138.13

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.