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Finding the Fourth Proportional to 11,106, 16,665.57 and 4,090.95

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Solution

The fourth proportional to 11,106, 16,665.57 and 4,090.95 is: 6,138.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,106 : 16,665.57 = 4,090.95 : x
  2. Step 2: Convert to fraction form
    11,106/16,665.57 = 4,090.95/x
  3. Step 3: Cross multiply
    11,106x = 16,665.57 × 4,090.95
  4. Step 4: Simplify right side
    11,106x = 68,178,013.59
  5. Step 5: Solve for x
    x = 68,178,013.59/11,106
  6. Step 6: Final answer
    x = 6,138.85

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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.