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Finding the Fourth Proportional to 7,634.88, 10,530.22 and 5,116.20

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Solution

The fourth proportional to 7,634.88, 10,530.22 and 5,116.20 is: 7,056.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,634.88 : 10,530.22 = 5,116.20 : x
  2. Step 2: Convert to fraction form
    7,634.88/10,530.22 = 5,116.20/x
  3. Step 3: Cross multiply
    7,634.88x = 10,530.22 × 5,116.20
  4. Step 4: Simplify right side
    7,634.88x = 53,874,711.56
  5. Step 5: Solve for x
    x = 53,874,711.56/7,634.88
  6. Step 6: Final answer
    x = 7,056.39

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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.