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Finding the Fourth Proportional to 11,677.74, 17,517.69 and 4,656.05

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Solution

The fourth proportional to 11,677.74, 17,517.69 and 4,656.05 is: 6,984.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.74 : 17,517.69 = 4,656.05 : x
  2. Step 2: Convert to fraction form
    11,677.74/17,517.69 = 4,656.05/x
  3. Step 3: Cross multiply
    11,677.74x = 17,517.69 × 4,656.05
  4. Step 4: Simplify right side
    11,677.74x = 81,563,240.52
  5. Step 5: Solve for x
    x = 81,563,240.52/11,677.74
  6. Step 6: Final answer
    x = 6,984.51

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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.