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Finding the Fourth Proportional to 7,491.82, 11,237.74 and 2,561.50

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Solution

The fourth proportional to 7,491.82, 11,237.74 and 2,561.50 is: 3,842.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.82 : 11,237.74 = 2,561.50 : x
  2. Step 2: Convert to fraction form
    7,491.82/11,237.74 = 2,561.50/x
  3. Step 3: Cross multiply
    7,491.82x = 11,237.74 × 2,561.50
  4. Step 4: Simplify right side
    7,491.82x = 28,785,494.46
  5. Step 5: Solve for x
    x = 28,785,494.46/7,491.82
  6. Step 6: Final answer
    x = 3,842.26

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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.