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Finding the Fourth Proportional to 7,711.83, 11,570.34 and 2,447.70

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Solution

The fourth proportional to 7,711.83, 11,570.34 and 2,447.70 is: 3,672.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,711.83 : 11,570.34 = 2,447.70 : x
  2. Step 2: Convert to fraction form
    7,711.83/11,570.34 = 2,447.70/x
  3. Step 3: Cross multiply
    7,711.83x = 11,570.34 × 2,447.70
  4. Step 4: Simplify right side
    7,711.83x = 28,320,721.22
  5. Step 5: Solve for x
    x = 28,320,721.22/7,711.83
  6. Step 6: Final answer
    x = 3,672.37

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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.