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Finding the Fourth Proportional to 11,872.70, 17,807.82 and 3,106.48

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Solution

The fourth proportional to 11,872.70, 17,807.82 and 3,106.48 is: 4,659.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.70 : 17,807.82 = 3,106.48 : x
  2. Step 2: Convert to fraction form
    11,872.70/17,807.82 = 3,106.48/x
  3. Step 3: Cross multiply
    11,872.70x = 17,807.82 × 3,106.48
  4. Step 4: Simplify right side
    11,872.70x = 55,319,636.67
  5. Step 5: Solve for x
    x = 55,319,636.67/11,872.70
  6. Step 6: Final answer
    x = 4,659.40

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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.