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Finding the Fourth Proportional to 8,162.52, 11,264.20 and 4,626.44

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Solution

The fourth proportional to 8,162.52, 11,264.20 and 4,626.44 is: 6,384.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,162.52 : 11,264.20 = 4,626.44 : x
  2. Step 2: Convert to fraction form
    8,162.52/11,264.20 = 4,626.44/x
  3. Step 3: Cross multiply
    8,162.52x = 11,264.20 × 4,626.44
  4. Step 4: Simplify right side
    8,162.52x = 52,113,145.45
  5. Step 5: Solve for x
    x = 52,113,145.45/8,162.52
  6. Step 6: Final answer
    x = 6,384.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.