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Finding the Fourth Proportional to 8,735.48, 13,099.08 and 3,184.88

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Solution

The fourth proportional to 8,735.48, 13,099.08 and 3,184.88 is: 4,775.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,735.48 : 13,099.08 = 3,184.88 : x
  2. Step 2: Convert to fraction form
    8,735.48/13,099.08 = 3,184.88/x
  3. Step 3: Cross multiply
    8,735.48x = 13,099.08 × 3,184.88
  4. Step 4: Simplify right side
    8,735.48x = 41,718,997.91
  5. Step 5: Solve for x
    x = 41,718,997.91/8,735.48
  6. Step 6: Final answer
    x = 4,775.81

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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.