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Finding the Fourth Proportional to 7,642.68, 11,464.04 and 3,944.24

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Solution

The fourth proportional to 7,642.68, 11,464.04 and 3,944.24 is: 5,916.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.68 : 11,464.04 = 3,944.24 : x
  2. Step 2: Convert to fraction form
    7,642.68/11,464.04 = 3,944.24/x
  3. Step 3: Cross multiply
    7,642.68x = 11,464.04 × 3,944.24
  4. Step 4: Simplify right side
    7,642.68x = 45,216,925.13
  5. Step 5: Solve for x
    x = 45,216,925.13/7,642.68
  6. Step 6: Final answer
    x = 5,916.37

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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.