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Finding the Fourth Proportional to 6,754.32, 10,122.30 and 3,460.46

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Solution

The fourth proportional to 6,754.32, 10,122.30 and 3,460.46 is: 5,185.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,754.32 : 10,122.30 = 3,460.46 : x
  2. Step 2: Convert to fraction form
    6,754.32/10,122.30 = 3,460.46/x
  3. Step 3: Cross multiply
    6,754.32x = 10,122.30 × 3,460.46
  4. Step 4: Simplify right side
    6,754.32x = 35,027,763.65
  5. Step 5: Solve for x
    x = 35,027,763.65/6,754.32
  6. Step 6: Final answer
    x = 5,185.98

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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.