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Finding the Fourth Proportional to 7,766, 11,649.08 and 4,310.52

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Solution

The fourth proportional to 7,766, 11,649.08 and 4,310.52 is: 6,465.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,766 : 11,649.08 = 4,310.52 : x
  2. Step 2: Convert to fraction form
    7,766/11,649.08 = 4,310.52/x
  3. Step 3: Cross multiply
    7,766x = 11,649.08 × 4,310.52
  4. Step 4: Simplify right side
    7,766x = 50,213,592.32
  5. Step 5: Solve for x
    x = 50,213,592.32/7,766
  6. Step 6: Final answer
    x = 6,465.82

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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.