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Finding the Fourth Proportional to 11,472.63, 15,837.78 and 7,694.41

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Solution

The fourth proportional to 11,472.63, 15,837.78 and 7,694.41 is: 10,622.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,472.63 : 15,837.78 = 7,694.41 : x
  2. Step 2: Convert to fraction form
    11,472.63/15,837.78 = 7,694.41/x
  3. Step 3: Cross multiply
    11,472.63x = 15,837.78 × 7,694.41
  4. Step 4: Simplify right side
    11,472.63x = 121,862,362.07
  5. Step 5: Solve for x
    x = 121,862,362.07/11,472.63
  6. Step 6: Final answer
    x = 10,622.01

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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.