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Finding the Fourth Proportional to 6,717.69, 10,055.74 and 5,721.24

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Solution

The fourth proportional to 6,717.69, 10,055.74 and 5,721.24 is: 8,564.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,717.69 : 10,055.74 = 5,721.24 : x
  2. Step 2: Convert to fraction form
    6,717.69/10,055.74 = 5,721.24/x
  3. Step 3: Cross multiply
    6,717.69x = 10,055.74 × 5,721.24
  4. Step 4: Simplify right side
    6,717.69x = 57,531,301.92
  5. Step 5: Solve for x
    x = 57,531,301.92/6,717.69
  6. Step 6: Final answer
    x = 8,564.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.