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Finding the Fourth Proportional to 11,896.40, 16,416.31 and 6,590.83

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Solution

The fourth proportional to 11,896.40, 16,416.31 and 6,590.83 is: 9,094.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.40 : 16,416.31 = 6,590.83 : x
  2. Step 2: Convert to fraction form
    11,896.40/16,416.31 = 6,590.83/x
  3. Step 3: Cross multiply
    11,896.40x = 16,416.31 × 6,590.83
  4. Step 4: Simplify right side
    11,896.40x = 108,197,026.36
  5. Step 5: Solve for x
    x = 108,197,026.36/11,896.40
  6. Step 6: Final answer
    x = 9,094.94

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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.