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Finding the Fourth Proportional to 11,008.32, 15,212.25 and 8,350.98

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Solution

The fourth proportional to 11,008.32, 15,212.25 and 8,350.98 is: 11,540.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,008.32 : 15,212.25 = 8,350.98 : x
  2. Step 2: Convert to fraction form
    11,008.32/15,212.25 = 8,350.98/x
  3. Step 3: Cross multiply
    11,008.32x = 15,212.25 × 8,350.98
  4. Step 4: Simplify right side
    11,008.32x = 127,037,195.51
  5. Step 5: Solve for x
    x = 127,037,195.51/11,008.32
  6. Step 6: Final answer
    x = 11,540.11

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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.