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Finding the Fourth Proportional to 7,253, 10,009.14 and 3,941

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Solution

The fourth proportional to 7,253, 10,009.14 and 3,941 is: 5,438.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,253 : 10,009.14 = 3,941 : x
  2. Step 2: Convert to fraction form
    7,253/10,009.14 = 3,941/x
  3. Step 3: Cross multiply
    7,253x = 10,009.14 × 3,941
  4. Step 4: Simplify right side
    7,253x = 39,446,020.74
  5. Step 5: Solve for x
    x = 39,446,020.74/7,253
  6. Step 6: Final answer
    x = 5,438.58

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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.