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Finding the Fourth Proportional to 10,489.89, 15,730.86 and 3,467.80

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Solution

The fourth proportional to 10,489.89, 15,730.86 and 3,467.80 is: 5,200.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,489.89 : 15,730.86 = 3,467.80 : x
  2. Step 2: Convert to fraction form
    10,489.89/15,730.86 = 3,467.80/x
  3. Step 3: Cross multiply
    10,489.89x = 15,730.86 × 3,467.80
  4. Step 4: Simplify right side
    10,489.89x = 54,551,476.31
  5. Step 5: Solve for x
    x = 54,551,476.31/10,489.89
  6. Step 6: Final answer
    x = 5,200.39

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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.