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Finding the Fourth Proportional to 7,813.59, 11,720.35 and 3,196.59

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Solution

The fourth proportional to 7,813.59, 11,720.35 and 3,196.59 is: 4,794.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,813.59 : 11,720.35 = 3,196.59 : x
  2. Step 2: Convert to fraction form
    7,813.59/11,720.35 = 3,196.59/x
  3. Step 3: Cross multiply
    7,813.59x = 11,720.35 × 3,196.59
  4. Step 4: Simplify right side
    7,813.59x = 37,465,153.61
  5. Step 5: Solve for x
    x = 37,465,153.61/7,813.59
  6. Step 6: Final answer
    x = 4,794.87

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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.