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Finding the Fourth Proportional to 8,161.48, 12,242.30 and 3,232.32

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Solution

The fourth proportional to 8,161.48, 12,242.30 and 3,232.32 is: 4,848.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,161.48 : 12,242.30 = 3,232.32 : x
  2. Step 2: Convert to fraction form
    8,161.48/12,242.30 = 3,232.32/x
  3. Step 3: Cross multiply
    8,161.48x = 12,242.30 × 3,232.32
  4. Step 4: Simplify right side
    8,161.48x = 39,571,031.14
  5. Step 5: Solve for x
    x = 39,571,031.14/8,161.48
  6. Step 6: Final answer
    x = 4,848.51

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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.