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Finding the Fourth Proportional to 11,872.90, 16,384.31 and 6,837.01

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Solution

The fourth proportional to 11,872.90, 16,384.31 and 6,837.01 is: 9,434.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,872.90 : 16,384.31 = 6,837.01 : x
  2. Step 2: Convert to fraction form
    11,872.90/16,384.31 = 6,837.01/x
  3. Step 3: Cross multiply
    11,872.90x = 16,384.31 × 6,837.01
  4. Step 4: Simplify right side
    11,872.90x = 112,019,657.13
  5. Step 5: Solve for x
    x = 112,019,657.13/11,872.90
  6. Step 6: Final answer
    x = 9,434.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.