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Finding the Fourth Proportional to 6,882.56, 10,308.72 and 5,145.92

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Solution

The fourth proportional to 6,882.56, 10,308.72 and 5,145.92 is: 7,707.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,882.56 : 10,308.72 = 5,145.92 : x
  2. Step 2: Convert to fraction form
    6,882.56/10,308.72 = 5,145.92/x
  3. Step 3: Cross multiply
    6,882.56x = 10,308.72 × 5,145.92
  4. Step 4: Simplify right side
    6,882.56x = 53,047,848.42
  5. Step 5: Solve for x
    x = 53,047,848.42/6,882.56
  6. Step 6: Final answer
    x = 7,707.58

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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.