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Finding the Fourth Proportional to 11,671.84, 17,511 and 6,481.36

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Solution

The fourth proportional to 11,671.84, 17,511 and 6,481.36 is: 9,723.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,671.84 : 17,511 = 6,481.36 : x
  2. Step 2: Convert to fraction form
    11,671.84/17,511 = 6,481.36/x
  3. Step 3: Cross multiply
    11,671.84x = 17,511 × 6,481.36
  4. Step 4: Simplify right side
    11,671.84x = 113,495,094.96
  5. Step 5: Solve for x
    x = 113,495,094.96/11,671.84
  6. Step 6: Final answer
    x = 9,723.84

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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.