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Finding the Fourth Proportional to 11,065.27, 16,580.61 and 6,952.63

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Solution

The fourth proportional to 11,065.27, 16,580.61 and 6,952.63 is: 10,418.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.27 : 16,580.61 = 6,952.63 : x
  2. Step 2: Convert to fraction form
    11,065.27/16,580.61 = 6,952.63/x
  3. Step 3: Cross multiply
    11,065.27x = 16,580.61 × 6,952.63
  4. Step 4: Simplify right side
    11,065.27x = 115,278,846.50
  5. Step 5: Solve for x
    x = 115,278,846.50/11,065.27
  6. Step 6: Final answer
    x = 10,418.08

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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.