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Finding the Fourth Proportional to 11,681.66, 16,120.43 and 6,376.56

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Solution

The fourth proportional to 11,681.66, 16,120.43 and 6,376.56 is: 8,799.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.66 : 16,120.43 = 6,376.56 : x
  2. Step 2: Convert to fraction form
    11,681.66/16,120.43 = 6,376.56/x
  3. Step 3: Cross multiply
    11,681.66x = 16,120.43 × 6,376.56
  4. Step 4: Simplify right side
    11,681.66x = 102,792,889.12
  5. Step 5: Solve for x
    x = 102,792,889.12/11,681.66
  6. Step 6: Final answer
    x = 8,799.51

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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.