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Finding the Fourth Proportional to 8,233.33, 11,358.94 and 5,402.28

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Solution

The fourth proportional to 8,233.33, 11,358.94 and 5,402.28 is: 7,453.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,233.33 : 11,358.94 = 5,402.28 : x
  2. Step 2: Convert to fraction form
    8,233.33/11,358.94 = 5,402.28/x
  3. Step 3: Cross multiply
    8,233.33x = 11,358.94 × 5,402.28
  4. Step 4: Simplify right side
    8,233.33x = 61,364,174.38
  5. Step 5: Solve for x
    x = 61,364,174.38/8,233.33
  6. Step 6: Final answer
    x = 7,453.14

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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.