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Finding the Fourth Proportional to 6,937.56, 10,406.28 and 3,474.72

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Solution

The fourth proportional to 6,937.56, 10,406.28 and 3,474.72 is: 5,212.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,937.56 : 10,406.28 = 3,474.72 : x
  2. Step 2: Convert to fraction form
    6,937.56/10,406.28 = 3,474.72/x
  3. Step 3: Cross multiply
    6,937.56x = 10,406.28 × 3,474.72
  4. Step 4: Simplify right side
    6,937.56x = 36,158,909.24
  5. Step 5: Solve for x
    x = 36,158,909.24/6,937.56
  6. Step 6: Final answer
    x = 5,212.05

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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.