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Finding the Fourth Proportional to 10,776.42, 16,175.52 and 7,659.95

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Solution

The fourth proportional to 10,776.42, 16,175.52 and 7,659.95 is: 11,497.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,776.42 : 16,175.52 = 7,659.95 : x
  2. Step 2: Convert to fraction form
    10,776.42/16,175.52 = 7,659.95/x
  3. Step 3: Cross multiply
    10,776.42x = 16,175.52 × 7,659.95
  4. Step 4: Simplify right side
    10,776.42x = 123,903,593.55
  5. Step 5: Solve for x
    x = 123,903,593.55/10,776.42
  6. Step 6: Final answer
    x = 11,497.66

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.