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Finding the Fourth Proportional to 7,496.85, 11,232.07 and 6,682.40

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Solution

The fourth proportional to 7,496.85, 11,232.07 and 6,682.40 is: 10,011.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,496.85 : 11,232.07 = 6,682.40 : x
  2. Step 2: Convert to fraction form
    7,496.85/11,232.07 = 6,682.40/x
  3. Step 3: Cross multiply
    7,496.85x = 11,232.07 × 6,682.40
  4. Step 4: Simplify right side
    7,496.85x = 75,057,153.82
  5. Step 5: Solve for x
    x = 75,057,153.82/7,496.85
  6. Step 6: Final answer
    x = 10,011.82

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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.