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Finding the Fourth Proportional to 11,891.34, 16,410.06 and 6,586.25

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Solution

The fourth proportional to 11,891.34, 16,410.06 and 6,586.25 is: 9,089.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.34 : 16,410.06 = 6,586.25 : x
  2. Step 2: Convert to fraction form
    11,891.34/16,410.06 = 6,586.25/x
  3. Step 3: Cross multiply
    11,891.34x = 16,410.06 × 6,586.25
  4. Step 4: Simplify right side
    11,891.34x = 108,080,675.62
  5. Step 5: Solve for x
    x = 108,080,675.62/11,891.34
  6. Step 6: Final answer
    x = 9,089.02

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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.