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Finding the Fourth Proportional to 11,694.12, 16,140.36 and 7,715.76

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Solution

The fourth proportional to 11,694.12, 16,140.36 and 7,715.76 is: 10,649.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,694.12 : 16,140.36 = 7,715.76 : x
  2. Step 2: Convert to fraction form
    11,694.12/16,140.36 = 7,715.76/x
  3. Step 3: Cross multiply
    11,694.12x = 16,140.36 × 7,715.76
  4. Step 4: Simplify right side
    11,694.12x = 124,535,144.07
  5. Step 5: Solve for x
    x = 124,535,144.07/11,694.12
  6. Step 6: Final answer
    x = 10,649.38

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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.