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Finding the Fourth Proportional to 7,429.82, 10,253.17 and 4,072.76

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Solution

The fourth proportional to 7,429.82, 10,253.17 and 4,072.76 is: 5,620.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,429.82 : 10,253.17 = 4,072.76 : x
  2. Step 2: Convert to fraction form
    7,429.82/10,253.17 = 4,072.76/x
  3. Step 3: Cross multiply
    7,429.82x = 10,253.17 × 4,072.76
  4. Step 4: Simplify right side
    7,429.82x = 41,758,649.38
  5. Step 5: Solve for x
    x = 41,758,649.38/7,429.82
  6. Step 6: Final answer
    x = 5,620.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.