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Finding the Fourth Proportional to 7,182.83, 10,774.35 and 2,252.51

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Solution

The fourth proportional to 7,182.83, 10,774.35 and 2,252.51 is: 3,378.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.83 : 10,774.35 = 2,252.51 : x
  2. Step 2: Convert to fraction form
    7,182.83/10,774.35 = 2,252.51/x
  3. Step 3: Cross multiply
    7,182.83x = 10,774.35 × 2,252.51
  4. Step 4: Simplify right side
    7,182.83x = 24,269,327.15
  5. Step 5: Solve for x
    x = 24,269,327.15/7,182.83
  6. Step 6: Final answer
    x = 3,378.80

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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.