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Finding the Fourth Proportional to 11,891.46, 16,410.20 and 6,586.28

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Solution

The fourth proportional to 11,891.46, 16,410.20 and 6,586.28 is: 9,089.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.46 : 16,410.20 = 6,586.28 : x
  2. Step 2: Convert to fraction form
    11,891.46/16,410.20 = 6,586.28/x
  3. Step 3: Cross multiply
    11,891.46x = 16,410.20 × 6,586.28
  4. Step 4: Simplify right side
    11,891.46x = 108,082,172.06
  5. Step 5: Solve for x
    x = 108,082,172.06/11,891.46
  6. Step 6: Final answer
    x = 9,089.06

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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.