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Finding the Fourth Proportional to 11,032, 15,224.16 and 7,306

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Solution

The fourth proportional to 11,032, 15,224.16 and 7,306 is: 10,082.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,032 : 15,224.16 = 7,306 : x
  2. Step 2: Convert to fraction form
    11,032/15,224.16 = 7,306/x
  3. Step 3: Cross multiply
    11,032x = 15,224.16 × 7,306
  4. Step 4: Simplify right side
    11,032x = 111,227,712.96
  5. Step 5: Solve for x
    x = 111,227,712.96/11,032
  6. Step 6: Final answer
    x = 10,082.28

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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.