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Finding the Fourth Proportional to 11,775.39, 16,250.36 and 6,670.50

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Solution

The fourth proportional to 11,775.39, 16,250.36 and 6,670.50 is: 9,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,775.39 : 16,250.36 = 6,670.50 : x
  2. Step 2: Convert to fraction form
    11,775.39/16,250.36 = 6,670.50/x
  3. Step 3: Cross multiply
    11,775.39x = 16,250.36 × 6,670.50
  4. Step 4: Simplify right side
    11,775.39x = 108,397,993.03
  5. Step 5: Solve for x
    x = 108,397,993.03/11,775.39
  6. Step 6: Final answer
    x = 9,205.47

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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.