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Finding the Fourth Proportional to 8,203.48, 12,302.48 and 2,655.32

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Solution

The fourth proportional to 8,203.48, 12,302.48 and 2,655.32 is: 3,982.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,203.48 : 12,302.48 = 2,655.32 : x
  2. Step 2: Convert to fraction form
    8,203.48/12,302.48 = 2,655.32/x
  3. Step 3: Cross multiply
    8,203.48x = 12,302.48 × 2,655.32
  4. Step 4: Simplify right side
    8,203.48x = 32,667,021.19
  5. Step 5: Solve for x
    x = 32,667,021.19/8,203.48
  6. Step 6: Final answer
    x = 3,982.09

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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.