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Finding the Fourth Proportional to 11,864.29, 17,798.07 and 4,072.09

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Solution

The fourth proportional to 11,864.29, 17,798.07 and 4,072.09 is: 6,108.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.29 : 17,798.07 = 4,072.09 : x
  2. Step 2: Convert to fraction form
    11,864.29/17,798.07 = 4,072.09/x
  3. Step 3: Cross multiply
    11,864.29x = 17,798.07 × 4,072.09
  4. Step 4: Simplify right side
    11,864.29x = 72,475,342.87
  5. Step 5: Solve for x
    x = 72,475,342.87/11,864.29
  6. Step 6: Final answer
    x = 6,108.70

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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.