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Finding the Fourth Proportional to 7,472.66, 11,203.52 and 2,540.97

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Solution

The fourth proportional to 7,472.66, 11,203.52 and 2,540.97 is: 3,809.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.66 : 11,203.52 = 2,540.97 : x
  2. Step 2: Convert to fraction form
    7,472.66/11,203.52 = 2,540.97/x
  3. Step 3: Cross multiply
    7,472.66x = 11,203.52 × 2,540.97
  4. Step 4: Simplify right side
    7,472.66x = 28,467,795.51
  5. Step 5: Solve for x
    x = 28,467,795.51/7,472.66
  6. Step 6: Final answer
    x = 3,809.60

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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.