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Finding the Fourth Proportional to 12,751.14, 17,596.90 and 7,085.72

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Solution

The fourth proportional to 12,751.14, 17,596.90 and 7,085.72 is: 9,778.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,751.14 : 17,596.90 = 7,085.72 : x
  2. Step 2: Convert to fraction form
    12,751.14/17,596.90 = 7,085.72/x
  3. Step 3: Cross multiply
    12,751.14x = 17,596.90 × 7,085.72
  4. Step 4: Simplify right side
    12,751.14x = 124,686,706.27
  5. Step 5: Solve for x
    x = 124,686,706.27/12,751.14
  6. Step 6: Final answer
    x = 9,778.48

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.