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Finding the Fourth Proportional to 11,314.32, 16,983 and 8,031.12

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Solution

The fourth proportional to 11,314.32, 16,983 and 8,031.12 is: 12,054.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.32 : 16,983 = 8,031.12 : x
  2. Step 2: Convert to fraction form
    11,314.32/16,983 = 8,031.12/x
  3. Step 3: Cross multiply
    11,314.32x = 16,983 × 8,031.12
  4. Step 4: Simplify right side
    11,314.32x = 136,392,510.96
  5. Step 5: Solve for x
    x = 136,392,510.96/11,314.32
  6. Step 6: Final answer
    x = 12,054.86

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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.