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Finding the Fourth Proportional to 8,760.12, 13,143.72 and 6,431.96

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Solution

The fourth proportional to 8,760.12, 13,143.72 and 6,431.96 is: 9,650.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,760.12 : 13,143.72 = 6,431.96 : x
  2. Step 2: Convert to fraction form
    8,760.12/13,143.72 = 6,431.96/x
  3. Step 3: Cross multiply
    8,760.12x = 13,143.72 × 6,431.96
  4. Step 4: Simplify right side
    8,760.12x = 84,539,881.29
  5. Step 5: Solve for x
    x = 84,539,881.29/8,760.12
  6. Step 6: Final answer
    x = 9,650.54

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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.