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Finding the Fourth Proportional to 11,810.94, 16,299.06 and 6,505.75

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Solution

The fourth proportional to 11,810.94, 16,299.06 and 6,505.75 is: 8,977.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.94 : 16,299.06 = 6,505.75 : x
  2. Step 2: Convert to fraction form
    11,810.94/16,299.06 = 6,505.75/x
  3. Step 3: Cross multiply
    11,810.94x = 16,299.06 × 6,505.75
  4. Step 4: Simplify right side
    11,810.94x = 106,037,609.60
  5. Step 5: Solve for x
    x = 106,037,609.60/11,810.94
  6. Step 6: Final answer
    x = 8,977.91

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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.