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Finding the Fourth Proportional to 8,214.72, 12,321.04 and 2,292.06

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Solution

The fourth proportional to 8,214.72, 12,321.04 and 2,292.06 is: 3,437.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.72 : 12,321.04 = 2,292.06 : x
  2. Step 2: Convert to fraction form
    8,214.72/12,321.04 = 2,292.06/x
  3. Step 3: Cross multiply
    8,214.72x = 12,321.04 × 2,292.06
  4. Step 4: Simplify right side
    8,214.72x = 28,240,562.94
  5. Step 5: Solve for x
    x = 28,240,562.94/8,214.72
  6. Step 6: Final answer
    x = 3,437.80

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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.