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Finding the Fourth Proportional to 8,215.72, 12,322.54 and 2,293.06

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Solution

The fourth proportional to 8,215.72, 12,322.54 and 2,293.06 is: 3,439.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,215.72 : 12,322.54 = 2,293.06 : x
  2. Step 2: Convert to fraction form
    8,215.72/12,322.54 = 2,293.06/x
  3. Step 3: Cross multiply
    8,215.72x = 12,322.54 × 2,293.06
  4. Step 4: Simplify right side
    8,215.72x = 28,256,323.57
  5. Step 5: Solve for x
    x = 28,256,323.57/8,215.72
  6. Step 6: Final answer
    x = 3,439.30

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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.