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Finding the Fourth Proportional to 11,860.16, 17,806.44 and 7,631.96

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Solution

The fourth proportional to 11,860.16, 17,806.44 and 7,631.96 is: 11,458.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,860.16 : 17,806.44 = 7,631.96 : x
  2. Step 2: Convert to fraction form
    11,860.16/17,806.44 = 7,631.96/x
  3. Step 3: Cross multiply
    11,860.16x = 17,806.44 × 7,631.96
  4. Step 4: Simplify right side
    11,860.16x = 135,898,037.82
  5. Step 5: Solve for x
    x = 135,898,037.82/11,860.16
  6. Step 6: Final answer
    x = 11,458.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.