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Finding the Fourth Proportional to 7,709.22, 10,649.61 and 6,135.30

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Solution

The fourth proportional to 7,709.22, 10,649.61 and 6,135.30 is: 8,475.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,709.22 : 10,649.61 = 6,135.30 : x
  2. Step 2: Convert to fraction form
    7,709.22/10,649.61 = 6,135.30/x
  3. Step 3: Cross multiply
    7,709.22x = 10,649.61 × 6,135.30
  4. Step 4: Simplify right side
    7,709.22x = 65,338,552.23
  5. Step 5: Solve for x
    x = 65,338,552.23/7,709.22
  6. Step 6: Final answer
    x = 8,475.38

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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.