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Finding the Fourth Proportional to 10,896, 15,036.24 and 6,180.80

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Solution

The fourth proportional to 10,896, 15,036.24 and 6,180.80 is: 8,529.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,896 : 15,036.24 = 6,180.80 : x
  2. Step 2: Convert to fraction form
    10,896/15,036.24 = 6,180.80/x
  3. Step 3: Cross multiply
    10,896x = 15,036.24 × 6,180.80
  4. Step 4: Simplify right side
    10,896x = 92,935,992.19
  5. Step 5: Solve for x
    x = 92,935,992.19/10,896
  6. Step 6: Final answer
    x = 8,529.37

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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.