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Finding the Fourth Proportional to 11,681.83, 16,120.84 and 6,376.64

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Solution

The fourth proportional to 11,681.83, 16,120.84 and 6,376.64 is: 8,799.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.83 : 16,120.84 = 6,376.64 : x
  2. Step 2: Convert to fraction form
    11,681.83/16,120.84 = 6,376.64/x
  3. Step 3: Cross multiply
    11,681.83x = 16,120.84 × 6,376.64
  4. Step 4: Simplify right side
    11,681.83x = 102,796,826.55
  5. Step 5: Solve for x
    x = 102,796,826.55/11,681.83
  6. Step 6: Final answer
    x = 8,799.72

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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.