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Finding the Fourth Proportional to 7,642.15, 11,463.83 and 3,259.64

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Solution

The fourth proportional to 7,642.15, 11,463.83 and 3,259.64 is: 4,889.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,642.15 : 11,463.83 = 3,259.64 : x
  2. Step 2: Convert to fraction form
    7,642.15/11,463.83 = 3,259.64/x
  3. Step 3: Cross multiply
    7,642.15x = 11,463.83 × 3,259.64
  4. Step 4: Simplify right side
    7,642.15x = 37,367,958.82
  5. Step 5: Solve for x
    x = 37,367,958.82/7,642.15
  6. Step 6: Final answer
    x = 4,889.72

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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.