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Finding the Fourth Proportional to 7,711.37, 11,570.64 and 2,447.21

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Solution

The fourth proportional to 7,711.37, 11,570.64 and 2,447.21 is: 3,671.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.37 : 11,570.64 = 2,447.21 : x
  2. Step 2: Convert to fraction form
    7,711.37/11,570.64 = 2,447.21/x
  3. Step 3: Cross multiply
    7,711.37x = 11,570.64 × 2,447.21
  4. Step 4: Simplify right side
    7,711.37x = 28,315,785.91
  5. Step 5: Solve for x
    x = 28,315,785.91/7,711.37
  6. Step 6: Final answer
    x = 3,671.95

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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.