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Finding the Fourth Proportional to 7,231.63, 10,849.08 and 2,551.98

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Solution

The fourth proportional to 7,231.63, 10,849.08 and 2,551.98 is: 3,828.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,231.63 : 10,849.08 = 2,551.98 : x
  2. Step 2: Convert to fraction form
    7,231.63/10,849.08 = 2,551.98/x
  3. Step 3: Cross multiply
    7,231.63x = 10,849.08 × 2,551.98
  4. Step 4: Simplify right side
    7,231.63x = 27,686,589.71
  5. Step 5: Solve for x
    x = 27,686,589.71/7,231.63
  6. Step 6: Final answer
    x = 3,828.54

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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.