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Finding the Fourth Proportional to 7,963, 11,944.53 and 2,416.39

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Solution

The fourth proportional to 7,963, 11,944.53 and 2,416.39 is: 3,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,963 : 11,944.53 = 2,416.39 : x
  2. Step 2: Convert to fraction form
    7,963/11,944.53 = 2,416.39/x
  3. Step 3: Cross multiply
    7,963x = 11,944.53 × 2,416.39
  4. Step 4: Simplify right side
    7,963x = 28,862,642.85
  5. Step 5: Solve for x
    x = 28,862,642.85/7,963
  6. Step 6: Final answer
    x = 3,624.59

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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.