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Finding the Fourth Proportional to 11,134.95, 16,700.86 and 2,814.45

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Solution

The fourth proportional to 11,134.95, 16,700.86 and 2,814.45 is: 4,221.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,134.95 : 16,700.86 = 2,814.45 : x
  2. Step 2: Convert to fraction form
    11,134.95/16,700.86 = 2,814.45/x
  3. Step 3: Cross multiply
    11,134.95x = 16,700.86 × 2,814.45
  4. Step 4: Simplify right side
    11,134.95x = 47,003,735.43
  5. Step 5: Solve for x
    x = 47,003,735.43/11,134.95
  6. Step 6: Final answer
    x = 4,221.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.