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Finding the Fourth Proportional to 6,858.72, 10,289.16 and 2,475.72

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Solution

The fourth proportional to 6,858.72, 10,289.16 and 2,475.72 is: 3,713.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,858.72 : 10,289.16 = 2,475.72 : x
  2. Step 2: Convert to fraction form
    6,858.72/10,289.16 = 2,475.72/x
  3. Step 3: Cross multiply
    6,858.72x = 10,289.16 × 2,475.72
  4. Step 4: Simplify right side
    6,858.72x = 25,473,079.20
  5. Step 5: Solve for x
    x = 25,473,079.20/6,858.72
  6. Step 6: Final answer
    x = 3,713.97

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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.