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Finding the Fourth Proportional to 8,911.31, 12,297.57 and 4,932.18

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Solution

The fourth proportional to 8,911.31, 12,297.57 and 4,932.18 is: 6,806.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.31 : 12,297.57 = 4,932.18 : x
  2. Step 2: Convert to fraction form
    8,911.31/12,297.57 = 4,932.18/x
  3. Step 3: Cross multiply
    8,911.31x = 12,297.57 × 4,932.18
  4. Step 4: Simplify right side
    8,911.31x = 60,653,828.80
  5. Step 5: Solve for x
    x = 60,653,828.80/8,911.31
  6. Step 6: Final answer
    x = 6,806.39

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Why These Related Problems?

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