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Finding the Fourth Proportional to 12,057.64, 16,639.36 and 6,752.66

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Solution

The fourth proportional to 12,057.64, 16,639.36 and 6,752.66 is: 9,318.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,057.64 : 16,639.36 = 6,752.66 : x
  2. Step 2: Convert to fraction form
    12,057.64/16,639.36 = 6,752.66/x
  3. Step 3: Cross multiply
    12,057.64x = 16,639.36 × 6,752.66
  4. Step 4: Simplify right side
    12,057.64x = 112,359,840.62
  5. Step 5: Solve for x
    x = 112,359,840.62/12,057.64
  6. Step 6: Final answer
    x = 9,318.56

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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.