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Finding the Fourth Proportional to 7,813.80, 11,713.05 and 3,132.54

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Solution

The fourth proportional to 7,813.80, 11,713.05 and 3,132.54 is: 4,695.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.80 : 11,713.05 = 3,132.54 : x
  2. Step 2: Convert to fraction form
    7,813.80/11,713.05 = 3,132.54/x
  3. Step 3: Cross multiply
    7,813.80x = 11,713.05 × 3,132.54
  4. Step 4: Simplify right side
    7,813.80x = 36,691,597.65
  5. Step 5: Solve for x
    x = 36,691,597.65/7,813.80
  6. Step 6: Final answer
    x = 4,695.74

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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.