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Finding the Fourth Proportional to 11,340.36, 15,649.74 and 7,797.42

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Solution

The fourth proportional to 11,340.36, 15,649.74 and 7,797.42 is: 10,760.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,340.36 : 15,649.74 = 7,797.42 : x
  2. Step 2: Convert to fraction form
    11,340.36/15,649.74 = 7,797.42/x
  3. Step 3: Cross multiply
    11,340.36x = 15,649.74 × 7,797.42
  4. Step 4: Simplify right side
    11,340.36x = 122,027,595.67
  5. Step 5: Solve for x
    x = 122,027,595.67/11,340.36
  6. Step 6: Final answer
    x = 10,760.47

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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.