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Finding the Fourth Proportional to 7,491.88, 11,233.50 and 3,112.48

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Solution

The fourth proportional to 7,491.88, 11,233.50 and 3,112.48 is: 4,666.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,491.88 : 11,233.50 = 3,112.48 : x
  2. Step 2: Convert to fraction form
    7,491.88/11,233.50 = 3,112.48/x
  3. Step 3: Cross multiply
    7,491.88x = 11,233.50 × 3,112.48
  4. Step 4: Simplify right side
    7,491.88x = 34,964,044.08
  5. Step 5: Solve for x
    x = 34,964,044.08/7,491.88
  6. Step 6: Final answer
    x = 4,666.93

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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.