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Finding the Fourth Proportional to 11,235, 15,502.86 and 6,517.56

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Solution

The fourth proportional to 11,235, 15,502.86 and 6,517.56 is: 8,993.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,235 : 15,502.86 = 6,517.56 : x
  2. Step 2: Convert to fraction form
    11,235/15,502.86 = 6,517.56/x
  3. Step 3: Cross multiply
    11,235x = 15,502.86 × 6,517.56
  4. Step 4: Simplify right side
    11,235x = 101,040,820.22
  5. Step 5: Solve for x
    x = 101,040,820.22/11,235
  6. Step 6: Final answer
    x = 8,993.40

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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.