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Finding the Fourth Proportional to 11,811.31, 16,298.88 and 6,505.83

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Solution

The fourth proportional to 11,811.31, 16,298.88 and 6,505.83 is: 8,977.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,811.31 : 16,298.88 = 6,505.83 : x
  2. Step 2: Convert to fraction form
    11,811.31/16,298.88 = 6,505.83/x
  3. Step 3: Cross multiply
    11,811.31x = 16,298.88 × 6,505.83
  4. Step 4: Simplify right side
    11,811.31x = 106,037,709.94
  5. Step 5: Solve for x
    x = 106,037,709.94/11,811.31
  6. Step 6: Final answer
    x = 8,977.64

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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.