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Finding the Fourth Proportional to 11,705.61, 17,557.90 and 3,385.44

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Solution

The fourth proportional to 11,705.61, 17,557.90 and 3,385.44 is: 5,078.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,705.61 : 17,557.90 = 3,385.44 : x
  2. Step 2: Convert to fraction form
    11,705.61/17,557.90 = 3,385.44/x
  3. Step 3: Cross multiply
    11,705.61x = 17,557.90 × 3,385.44
  4. Step 4: Simplify right side
    11,705.61x = 59,441,221.21
  5. Step 5: Solve for x
    x = 59,441,221.21/11,705.61
  6. Step 6: Final answer
    x = 5,078.01

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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.