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Finding the Fourth Proportional to 7,641.95, 11,464.74 and 2,711.21

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Solution

The fourth proportional to 7,641.95, 11,464.74 and 2,711.21 is: 4,067.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,641.95 : 11,464.74 = 2,711.21 : x
  2. Step 2: Convert to fraction form
    7,641.95/11,464.74 = 2,711.21/x
  3. Step 3: Cross multiply
    7,641.95x = 11,464.74 × 2,711.21
  4. Step 4: Simplify right side
    7,641.95x = 31,083,260.41
  5. Step 5: Solve for x
    x = 31,083,260.41/7,641.95
  6. Step 6: Final answer
    x = 4,067.45

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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.