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Finding the Fourth Proportional to 8,296.17, 12,444.12 and 3,031.16

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Solution

The fourth proportional to 8,296.17, 12,444.12 and 3,031.16 is: 4,546.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,296.17 : 12,444.12 = 3,031.16 : x
  2. Step 2: Convert to fraction form
    8,296.17/12,444.12 = 3,031.16/x
  3. Step 3: Cross multiply
    8,296.17x = 12,444.12 × 3,031.16
  4. Step 4: Simplify right side
    8,296.17x = 37,720,056.56
  5. Step 5: Solve for x
    x = 37,720,056.56/8,296.17
  6. Step 6: Final answer
    x = 4,546.68

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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.