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Finding the Fourth Proportional to 11,837.70, 16,285.73 and 11,509.65

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Solution

The fourth proportional to 11,837.70, 16,285.73 and 11,509.65 is: 15,834.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,837.70 : 16,285.73 = 11,509.65 : x
  2. Step 2: Convert to fraction form
    11,837.70/16,285.73 = 11,509.65/x
  3. Step 3: Cross multiply
    11,837.70x = 16,285.73 × 11,509.65
  4. Step 4: Simplify right side
    11,837.70x = 187,442,994.75
  5. Step 5: Solve for x
    x = 187,442,994.75/11,837.70
  6. Step 6: Final answer
    x = 15,834.41

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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.