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Finding the Fourth Proportional to 11,891.14, 16,410.14 and 6,586.45

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Solution

The fourth proportional to 11,891.14, 16,410.14 and 6,586.45 is: 9,089.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,891.14 : 16,410.14 = 6,586.45 : x
  2. Step 2: Convert to fraction form
    11,891.14/16,410.14 = 6,586.45/x
  3. Step 3: Cross multiply
    11,891.14x = 16,410.14 × 6,586.45
  4. Step 4: Simplify right side
    11,891.14x = 108,084,566.60
  5. Step 5: Solve for x
    x = 108,084,566.60/11,891.14
  6. Step 6: Final answer
    x = 9,089.50

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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.