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Finding the Fourth Proportional to 8,502.82, 12,745.45 and 6,157.01

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Solution

The fourth proportional to 8,502.82, 12,745.45 and 6,157.01 is: 9,229.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,502.82 : 12,745.45 = 6,157.01 : x
  2. Step 2: Convert to fraction form
    8,502.82/12,745.45 = 6,157.01/x
  3. Step 3: Cross multiply
    8,502.82x = 12,745.45 × 6,157.01
  4. Step 4: Simplify right side
    8,502.82x = 78,473,863.10
  5. Step 5: Solve for x
    x = 78,473,863.10/8,502.82
  6. Step 6: Final answer
    x = 9,229.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.