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Finding the Fourth Proportional to 11,841.87, 16,341.89 and 6,537.09

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Solution

The fourth proportional to 11,841.87, 16,341.89 and 6,537.09 is: 9,021.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,841.87 : 16,341.89 = 6,537.09 : x
  2. Step 2: Convert to fraction form
    11,841.87/16,341.89 = 6,537.09/x
  3. Step 3: Cross multiply
    11,841.87x = 16,341.89 × 6,537.09
  4. Step 4: Simplify right side
    11,841.87x = 106,828,373.01
  5. Step 5: Solve for x
    x = 106,828,373.01/11,841.87
  6. Step 6: Final answer
    x = 9,021.24

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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.