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Finding the Fourth Proportional to 7,182.81, 10,774.22 and 2,252.83

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Solution

The fourth proportional to 7,182.81, 10,774.22 and 2,252.83 is: 3,379.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.81 : 10,774.22 = 2,252.83 : x
  2. Step 2: Convert to fraction form
    7,182.81/10,774.22 = 2,252.83/x
  3. Step 3: Cross multiply
    7,182.81x = 10,774.22 × 2,252.83
  4. Step 4: Simplify right side
    7,182.81x = 24,272,486.04
  5. Step 5: Solve for x
    x = 24,272,486.04/7,182.81
  6. Step 6: Final answer
    x = 3,379.25

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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.