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Finding the Fourth Proportional to 10,497.96, 15,745.01 and 3,478.05

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Solution

The fourth proportional to 10,497.96, 15,745.01 and 3,478.05 is: 5,216.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,497.96 : 15,745.01 = 3,478.05 : x
  2. Step 2: Convert to fraction form
    10,497.96/15,745.01 = 3,478.05/x
  3. Step 3: Cross multiply
    10,497.96x = 15,745.01 × 3,478.05
  4. Step 4: Simplify right side
    10,497.96x = 54,761,914.64
  5. Step 5: Solve for x
    x = 54,761,914.64/10,497.96
  6. Step 6: Final answer
    x = 5,216.43

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.