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Finding the Fourth Proportional to 8,143.76, 12,214.83 and 5,528.06

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Solution

The fourth proportional to 8,143.76, 12,214.83 and 5,528.06 is: 8,291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,143.76 : 12,214.83 = 5,528.06 : x
  2. Step 2: Convert to fraction form
    8,143.76/12,214.83 = 5,528.06/x
  3. Step 3: Cross multiply
    8,143.76x = 12,214.83 × 5,528.06
  4. Step 4: Simplify right side
    8,143.76x = 67,524,313.13
  5. Step 5: Solve for x
    x = 67,524,313.13/8,143.76
  6. Step 6: Final answer
    x = 8,291.54

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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.