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Finding the Fourth Proportional to 8,866.50, 12,226.68 and 5,842.41

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Solution

The fourth proportional to 8,866.50, 12,226.68 and 5,842.41 is: 8,056.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,866.50 : 12,226.68 = 5,842.41 : x
  2. Step 2: Convert to fraction form
    8,866.50/12,226.68 = 5,842.41/x
  3. Step 3: Cross multiply
    8,866.50x = 12,226.68 × 5,842.41
  4. Step 4: Simplify right side
    8,866.50x = 71,433,277.50
  5. Step 5: Solve for x
    x = 71,433,277.50/8,866.50
  6. Step 6: Final answer
    x = 8,056.54

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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.