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Finding the Fourth Proportional to 6,754.16, 10,131.98 and 2,597.70

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Solution

The fourth proportional to 6,754.16, 10,131.98 and 2,597.70 is: 3,896.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.16 : 10,131.98 = 2,597.70 : x
  2. Step 2: Convert to fraction form
    6,754.16/10,131.98 = 2,597.70/x
  3. Step 3: Cross multiply
    6,754.16x = 10,131.98 × 2,597.70
  4. Step 4: Simplify right side
    6,754.16x = 26,319,844.45
  5. Step 5: Solve for x
    x = 26,319,844.45/6,754.16
  6. Step 6: Final answer
    x = 3,896.83

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.