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Finding the Fourth Proportional to 11,165.13, 15,406.34 and 6,687.99

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Solution

The fourth proportional to 11,165.13, 15,406.34 and 6,687.99 is: 9,228.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,165.13 : 15,406.34 = 6,687.99 : x
  2. Step 2: Convert to fraction form
    11,165.13/15,406.34 = 6,687.99/x
  3. Step 3: Cross multiply
    11,165.13x = 15,406.34 × 6,687.99
  4. Step 4: Simplify right side
    11,165.13x = 103,037,414.42
  5. Step 5: Solve for x
    x = 103,037,414.42/11,165.13
  6. Step 6: Final answer
    x = 9,228.50

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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.