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Finding the Fourth Proportional to 11,807.14, 17,713.44 and 4,015.96

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Solution

The fourth proportional to 11,807.14, 17,713.44 and 4,015.96 is: 6,024.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,807.14 : 17,713.44 = 4,015.96 : x
  2. Step 2: Convert to fraction form
    11,807.14/17,713.44 = 4,015.96/x
  3. Step 3: Cross multiply
    11,807.14x = 17,713.44 × 4,015.96
  4. Step 4: Simplify right side
    11,807.14x = 71,136,466.50
  5. Step 5: Solve for x
    x = 71,136,466.50/11,807.14
  6. Step 6: Final answer
    x = 6,024.87

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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.