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Finding the Fourth Proportional to 11,461.18, 15,799.52 and 8,940.46

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Solution

The fourth proportional to 11,461.18, 15,799.52 and 8,940.46 is: 12,324.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,461.18 : 15,799.52 = 8,940.46 : x
  2. Step 2: Convert to fraction form
    11,461.18/15,799.52 = 8,940.46/x
  3. Step 3: Cross multiply
    11,461.18x = 15,799.52 × 8,940.46
  4. Step 4: Simplify right side
    11,461.18x = 141,254,976.58
  5. Step 5: Solve for x
    x = 141,254,976.58/11,461.18
  6. Step 6: Final answer
    x = 12,324.65

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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.