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Finding the Fourth Proportional to 8,112.61, 12,166.44 and 4,214.89

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Solution

The fourth proportional to 8,112.61, 12,166.44 and 4,214.89 is: 6,321.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,112.61 : 12,166.44 = 4,214.89 : x
  2. Step 2: Convert to fraction form
    8,112.61/12,166.44 = 4,214.89/x
  3. Step 3: Cross multiply
    8,112.61x = 12,166.44 × 4,214.89
  4. Step 4: Simplify right side
    8,112.61x = 51,280,206.29
  5. Step 5: Solve for x
    x = 51,280,206.29/8,112.61
  6. Step 6: Final answer
    x = 6,321.05

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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.