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Finding the Fourth Proportional to 11,891.49, 16,410.55 and 6,586.70

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Solution

The fourth proportional to 11,891.49, 16,410.55 and 6,586.70 is: 9,089.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.49 : 16,410.55 = 6,586.70 : x
  2. Step 2: Convert to fraction form
    11,891.49/16,410.55 = 6,586.70/x
  3. Step 3: Cross multiply
    11,891.49x = 16,410.55 × 6,586.70
  4. Step 4: Simplify right side
    11,891.49x = 108,091,394.24
  5. Step 5: Solve for x
    x = 108,091,394.24/11,891.49
  6. Step 6: Final answer
    x = 9,089.81

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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.