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Finding the Fourth Proportional to 7,157.32, 10,722.06 and 4,027.78

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Solution

The fourth proportional to 7,157.32, 10,722.06 and 4,027.78 is: 6,033.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,157.32 : 10,722.06 = 4,027.78 : x
  2. Step 2: Convert to fraction form
    7,157.32/10,722.06 = 4,027.78/x
  3. Step 3: Cross multiply
    7,157.32x = 10,722.06 × 4,027.78
  4. Step 4: Simplify right side
    7,157.32x = 43,186,098.83
  5. Step 5: Solve for x
    x = 43,186,098.83/7,157.32
  6. Step 6: Final answer
    x = 6,033.84

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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.