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Finding the Fourth Proportional to 8,142.12, 11,254.50 and 6,065.64

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Solution

The fourth proportional to 8,142.12, 11,254.50 and 6,065.64 is: 8,384.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,142.12 : 11,254.50 = 6,065.64 : x
  2. Step 2: Convert to fraction form
    8,142.12/11,254.50 = 6,065.64/x
  3. Step 3: Cross multiply
    8,142.12x = 11,254.50 × 6,065.64
  4. Step 4: Simplify right side
    8,142.12x = 68,265,745.38
  5. Step 5: Solve for x
    x = 68,265,745.38/8,142.12
  6. Step 6: Final answer
    x = 8,384.27

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.