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Finding the Fourth Proportional to 7,211.62, 10,813.11 and 2,595.70

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Solution

The fourth proportional to 7,211.62, 10,813.11 and 2,595.70 is: 3,892.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,211.62 : 10,813.11 = 2,595.70 : x
  2. Step 2: Convert to fraction form
    7,211.62/10,813.11 = 2,595.70/x
  3. Step 3: Cross multiply
    7,211.62x = 10,813.11 × 2,595.70
  4. Step 4: Simplify right side
    7,211.62x = 28,067,589.63
  5. Step 5: Solve for x
    x = 28,067,589.63/7,211.62
  6. Step 6: Final answer
    x = 3,892.00

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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.