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Finding the Fourth Proportional to 11,391.13, 15,714.40 and 7,410.79

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Solution

The fourth proportional to 11,391.13, 15,714.40 and 7,410.79 is: 10,223.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,391.13 : 15,714.40 = 7,410.79 : x
  2. Step 2: Convert to fraction form
    11,391.13/15,714.40 = 7,410.79/x
  3. Step 3: Cross multiply
    11,391.13x = 15,714.40 × 7,410.79
  4. Step 4: Simplify right side
    11,391.13x = 116,456,118.38
  5. Step 5: Solve for x
    x = 116,456,118.38/11,391.13
  6. Step 6: Final answer
    x = 10,223.40

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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.