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Finding the Fourth Proportional to 11,814.95, 16,314.14 and 8,046.02

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Solution

The fourth proportional to 11,814.95, 16,314.14 and 8,046.02 is: 11,109.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,814.95 : 16,314.14 = 8,046.02 : x
  2. Step 2: Convert to fraction form
    11,814.95/16,314.14 = 8,046.02/x
  3. Step 3: Cross multiply
    11,814.95x = 16,314.14 × 8,046.02
  4. Step 4: Simplify right side
    11,814.95x = 131,263,896.72
  5. Step 5: Solve for x
    x = 131,263,896.72/11,814.95
  6. Step 6: Final answer
    x = 11,109.98

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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.