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Finding the Fourth Proportional to 7,182.54, 10,773.81 and 2,252.21

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Solution

The fourth proportional to 7,182.54, 10,773.81 and 2,252.21 is: 3,378.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,182.54 : 10,773.81 = 2,252.21 : x
  2. Step 2: Convert to fraction form
    7,182.54/10,773.81 = 2,252.21/x
  3. Step 3: Cross multiply
    7,182.54x = 10,773.81 × 2,252.21
  4. Step 4: Simplify right side
    7,182.54x = 24,264,828.75
  5. Step 5: Solve for x
    x = 24,264,828.75/7,182.54
  6. Step 6: Final answer
    x = 3,378.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.