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Finding the Fourth Proportional to 11,314.82, 16,966.04 and 3,918.66

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Solution

The fourth proportional to 11,314.82, 16,966.04 and 3,918.66 is: 5,875.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,314.82 : 16,966.04 = 3,918.66 : x
  2. Step 2: Convert to fraction form
    11,314.82/16,966.04 = 3,918.66/x
  3. Step 3: Cross multiply
    11,314.82x = 16,966.04 × 3,918.66
  4. Step 4: Simplify right side
    11,314.82x = 66,484,142.31
  5. Step 5: Solve for x
    x = 66,484,142.31/11,314.82
  6. Step 6: Final answer
    x = 5,875.85

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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.