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Finding the Fourth Proportional to 8,717.69, 13,080.22 and 4,212.47

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Solution

The fourth proportional to 8,717.69, 13,080.22 and 4,212.47 is: 6,320.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,717.69 : 13,080.22 = 4,212.47 : x
  2. Step 2: Convert to fraction form
    8,717.69/13,080.22 = 4,212.47/x
  3. Step 3: Cross multiply
    8,717.69x = 13,080.22 × 4,212.47
  4. Step 4: Simplify right side
    8,717.69x = 55,100,056.51
  5. Step 5: Solve for x
    x = 55,100,056.51/8,717.69
  6. Step 6: Final answer
    x = 6,320.49

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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.