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Finding the Fourth Proportional to 7,472.51, 11,206 and 2,540.82

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Solution

The fourth proportional to 7,472.51, 11,206 and 2,540.82 is: 3,810.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,472.51 : 11,206 = 2,540.82 : x
  2. Step 2: Convert to fraction form
    7,472.51/11,206 = 2,540.82/x
  3. Step 3: Cross multiply
    7,472.51x = 11,206 × 2,540.82
  4. Step 4: Simplify right side
    7,472.51x = 28,472,428.92
  5. Step 5: Solve for x
    x = 28,472,428.92/7,472.51
  6. Step 6: Final answer
    x = 3,810.29

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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.