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Finding the Fourth Proportional to 6,011.34, 8,297.97 and 5,380.76

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Solution

The fourth proportional to 6,011.34, 8,297.97 and 5,380.76 is: 7,427.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,011.34 : 8,297.97 = 5,380.76 : x
  2. Step 2: Convert to fraction form
    6,011.34/8,297.97 = 5,380.76/x
  3. Step 3: Cross multiply
    6,011.34x = 8,297.97 × 5,380.76
  4. Step 4: Simplify right side
    6,011.34x = 44,649,316.66
  5. Step 5: Solve for x
    x = 44,649,316.66/6,011.34
  6. Step 6: Final answer
    x = 7,427.51

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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.