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Finding the Fourth Proportional to 7,757.28, 11,575.98 and 6,926.64

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Solution

The fourth proportional to 7,757.28, 11,575.98 and 6,926.64 is: 10,336.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,757.28 : 11,575.98 = 6,926.64 : x
  2. Step 2: Convert to fraction form
    7,757.28/11,575.98 = 6,926.64/x
  3. Step 3: Cross multiply
    7,757.28x = 11,575.98 × 6,926.64
  4. Step 4: Simplify right side
    7,757.28x = 80,182,646.11
  5. Step 5: Solve for x
    x = 80,182,646.11/7,757.28
  6. Step 6: Final answer
    x = 10,336.44

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.