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Finding the Fourth Proportional to 11,677.28, 17,517 and 4,655.60

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Solution

The fourth proportional to 11,677.28, 17,517 and 4,655.60 is: 6,983.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.28 : 17,517 = 4,655.60 : x
  2. Step 2: Convert to fraction form
    11,677.28/17,517 = 4,655.60/x
  3. Step 3: Cross multiply
    11,677.28x = 17,517 × 4,655.60
  4. Step 4: Simplify right side
    11,677.28x = 81,552,057.62
  5. Step 5: Solve for x
    x = 81,552,057.62/11,677.28
  6. Step 6: Final answer
    x = 6,983.83

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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.