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Finding the Fourth Proportional to 8,393.25, 11,582.75 and 4,616.66

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Solution

The fourth proportional to 8,393.25, 11,582.75 and 4,616.66 is: 6,371.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,393.25 : 11,582.75 = 4,616.66 : x
  2. Step 2: Convert to fraction form
    8,393.25/11,582.75 = 4,616.66/x
  3. Step 3: Cross multiply
    8,393.25x = 11,582.75 × 4,616.66
  4. Step 4: Simplify right side
    8,393.25x = 53,473,633.14
  5. Step 5: Solve for x
    x = 53,473,633.14/8,393.25
  6. Step 6: Final answer
    x = 6,371.03

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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.