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Finding the Fourth Proportional to 7,717.68, 10,643.13 and 5,200.20

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Solution

The fourth proportional to 7,717.68, 10,643.13 and 5,200.20 is: 7,171.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,717.68 : 10,643.13 = 5,200.20 : x
  2. Step 2: Convert to fraction form
    7,717.68/10,643.13 = 5,200.20/x
  3. Step 3: Cross multiply
    7,717.68x = 10,643.13 × 5,200.20
  4. Step 4: Simplify right side
    7,717.68x = 55,346,404.63
  5. Step 5: Solve for x
    x = 55,346,404.63/7,717.68
  6. Step 6: Final answer
    x = 7,171.38

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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.