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Finding the Fourth Proportional to 7,182.96, 10,774.17 and 2,252.76

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Solution

The fourth proportional to 7,182.96, 10,774.17 and 2,252.76 is: 3,379.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.96 : 10,774.17 = 2,252.76 : x
  2. Step 2: Convert to fraction form
    7,182.96/10,774.17 = 2,252.76/x
  3. Step 3: Cross multiply
    7,182.96x = 10,774.17 × 2,252.76
  4. Step 4: Simplify right side
    7,182.96x = 24,271,619.21
  5. Step 5: Solve for x
    x = 24,271,619.21/7,182.96
  6. Step 6: Final answer
    x = 3,379.06

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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.