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Finding the Fourth Proportional to 10,129.59, 15,194.21 and 3,204.09

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Solution

The fourth proportional to 10,129.59, 15,194.21 and 3,204.09 is: 4,806.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,129.59 : 15,194.21 = 3,204.09 : x
  2. Step 2: Convert to fraction form
    10,129.59/15,194.21 = 3,204.09/x
  3. Step 3: Cross multiply
    10,129.59x = 15,194.21 × 3,204.09
  4. Step 4: Simplify right side
    10,129.59x = 48,683,600.30
  5. Step 5: Solve for x
    x = 48,683,600.30/10,129.59
  6. Step 6: Final answer
    x = 4,806.08

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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.