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Finding the Fourth Proportional to 12,751.48, 17,596.69 and 7,086.08

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Solution

The fourth proportional to 12,751.48, 17,596.69 and 7,086.08 is: 9,778.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.48 : 17,596.69 = 7,086.08 : x
  2. Step 2: Convert to fraction form
    12,751.48/17,596.69 = 7,086.08/x
  3. Step 3: Cross multiply
    12,751.48x = 17,596.69 × 7,086.08
  4. Step 4: Simplify right side
    12,751.48x = 124,691,619.21
  5. Step 5: Solve for x
    x = 124,691,619.21/12,751.48
  6. Step 6: Final answer
    x = 9,778.60

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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.