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Finding the Fourth Proportional to 7,662.61, 10,575.39 and 4,519

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Solution

The fourth proportional to 7,662.61, 10,575.39 and 4,519 is: 6,236.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,662.61 : 10,575.39 = 4,519 : x
  2. Step 2: Convert to fraction form
    7,662.61/10,575.39 = 4,519/x
  3. Step 3: Cross multiply
    7,662.61x = 10,575.39 × 4,519
  4. Step 4: Simplify right side
    7,662.61x = 47,790,187.41
  5. Step 5: Solve for x
    x = 47,790,187.41/7,662.61
  6. Step 6: Final answer
    x = 6,236.80

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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.