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Finding the Fourth Proportional to 6,507.91, 9,760.84 and 2,125.35

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Solution

The fourth proportional to 6,507.91, 9,760.84 and 2,125.35 is: 3,187.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,507.91 : 9,760.84 = 2,125.35 : x
  2. Step 2: Convert to fraction form
    6,507.91/9,760.84 = 2,125.35/x
  3. Step 3: Cross multiply
    6,507.91x = 9,760.84 × 2,125.35
  4. Step 4: Simplify right side
    6,507.91x = 20,745,201.29
  5. Step 5: Solve for x
    x = 20,745,201.29/6,507.91
  6. Step 6: Final answer
    x = 3,187.69

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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.