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Finding the Fourth Proportional to 8,533, 12,798.01 and 2,293.44

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Solution

The fourth proportional to 8,533, 12,798.01 and 2,293.44 is: 3,439.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,533 : 12,798.01 = 2,293.44 : x
  2. Step 2: Convert to fraction form
    8,533/12,798.01 = 2,293.44/x
  3. Step 3: Cross multiply
    8,533x = 12,798.01 × 2,293.44
  4. Step 4: Simplify right side
    8,533x = 29,351,468.05
  5. Step 5: Solve for x
    x = 29,351,468.05/8,533
  6. Step 6: Final answer
    x = 3,439.76

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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.