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Finding the Fourth Proportional to 11,677.44, 17,505.60 and 4,276.64

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Solution

The fourth proportional to 11,677.44, 17,505.60 and 4,276.64 is: 6,411.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,677.44 : 17,505.60 = 4,276.64 : x
  2. Step 2: Convert to fraction form
    11,677.44/17,505.60 = 4,276.64/x
  3. Step 3: Cross multiply
    11,677.44x = 17,505.60 × 4,276.64
  4. Step 4: Simplify right side
    11,677.44x = 74,865,149.18
  5. Step 5: Solve for x
    x = 74,865,149.18/11,677.44
  6. Step 6: Final answer
    x = 6,411.09

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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.