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Finding the Fourth Proportional to 11,065.50, 16,559.28 and 6,907.47

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Solution

The fourth proportional to 11,065.50, 16,559.28 and 6,907.47 is: 10,336.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,065.50 : 16,559.28 = 6,907.47 : x
  2. Step 2: Convert to fraction form
    11,065.50/16,559.28 = 6,907.47/x
  3. Step 3: Cross multiply
    11,065.50x = 16,559.28 × 6,907.47
  4. Step 4: Simplify right side
    11,065.50x = 114,382,729.82
  5. Step 5: Solve for x
    x = 114,382,729.82/11,065.50
  6. Step 6: Final answer
    x = 10,336.88

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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.