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Finding the Fourth Proportional to 11,896.40, 16,415.76 and 6,591.08

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Solution

The fourth proportional to 11,896.40, 16,415.76 and 6,591.08 is: 9,094.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,896.40 : 16,415.76 = 6,591.08 : x
  2. Step 2: Convert to fraction form
    11,896.40/16,415.76 = 6,591.08/x
  3. Step 3: Cross multiply
    11,896.40x = 16,415.76 × 6,591.08
  4. Step 4: Simplify right side
    11,896.40x = 108,197,587.42
  5. Step 5: Solve for x
    x = 108,197,587.42/11,896.40
  6. Step 6: Final answer
    x = 9,094.99

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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.