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Finding the Fourth Proportional to 11,398.24, 15,729.28 and 7,411.83

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Solution

The fourth proportional to 11,398.24, 15,729.28 and 7,411.83 is: 10,228.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,398.24 : 15,729.28 = 7,411.83 : x
  2. Step 2: Convert to fraction form
    11,398.24/15,729.28 = 7,411.83/x
  3. Step 3: Cross multiply
    11,398.24x = 15,729.28 × 7,411.83
  4. Step 4: Simplify right side
    11,398.24x = 116,582,749.38
  5. Step 5: Solve for x
    x = 116,582,749.38/11,398.24
  6. Step 6: Final answer
    x = 10,228.14

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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.