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Finding the Fourth Proportional to 11,645.45, 17,469.98 and 3,856.08

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Solution

The fourth proportional to 11,645.45, 17,469.98 and 3,856.08 is: 5,784.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,645.45 : 17,469.98 = 3,856.08 : x
  2. Step 2: Convert to fraction form
    11,645.45/17,469.98 = 3,856.08/x
  3. Step 3: Cross multiply
    11,645.45x = 17,469.98 × 3,856.08
  4. Step 4: Simplify right side
    11,645.45x = 67,365,621.20
  5. Step 5: Solve for x
    x = 67,365,621.20/11,645.45
  6. Step 6: Final answer
    x = 5,784.72

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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.