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Finding the Fourth Proportional to 6,516.80, 8,992.97 and 3,862.64

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Solution

The fourth proportional to 6,516.80, 8,992.97 and 3,862.64 is: 5,330.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,516.80 : 8,992.97 = 3,862.64 : x
  2. Step 2: Convert to fraction form
    6,516.80/8,992.97 = 3,862.64/x
  3. Step 3: Cross multiply
    6,516.80x = 8,992.97 × 3,862.64
  4. Step 4: Simplify right side
    6,516.80x = 34,736,541.36
  5. Step 5: Solve for x
    x = 34,736,541.36/6,516.80
  6. Step 6: Final answer
    x = 5,330.30

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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.