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Finding the Fourth Proportional to 8,214.16, 12,324.10 and 4,511.68

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Solution

The fourth proportional to 8,214.16, 12,324.10 and 4,511.68 is: 6,769.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.16 : 12,324.10 = 4,511.68 : x
  2. Step 2: Convert to fraction form
    8,214.16/12,324.10 = 4,511.68/x
  3. Step 3: Cross multiply
    8,214.16x = 12,324.10 × 4,511.68
  4. Step 4: Simplify right side
    8,214.16x = 55,602,395.49
  5. Step 5: Solve for x
    x = 55,602,395.49/8,214.16
  6. Step 6: Final answer
    x = 6,769.09

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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.