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Finding the Fourth Proportional to 8,582.22, 11,843.18 and 5,047.78

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Solution

The fourth proportional to 8,582.22, 11,843.18 and 5,047.78 is: 6,965.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,582.22 : 11,843.18 = 5,047.78 : x
  2. Step 2: Convert to fraction form
    8,582.22/11,843.18 = 5,047.78/x
  3. Step 3: Cross multiply
    8,582.22x = 11,843.18 × 5,047.78
  4. Step 4: Simplify right side
    8,582.22x = 59,781,767.14
  5. Step 5: Solve for x
    x = 59,781,767.14/8,582.22
  6. Step 6: Final answer
    x = 6,965.77

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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.