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Finding the Fourth Proportional to 10,874.94, 15,008.22 and 6,094.64

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Solution

The fourth proportional to 10,874.94, 15,008.22 and 6,094.64 is: 8,411.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,874.94 : 15,008.22 = 6,094.64 : x
  2. Step 2: Convert to fraction form
    10,874.94/15,008.22 = 6,094.64/x
  3. Step 3: Cross multiply
    10,874.94x = 15,008.22 × 6,094.64
  4. Step 4: Simplify right side
    10,874.94x = 91,469,622.90
  5. Step 5: Solve for x
    x = 91,469,622.90/10,874.94
  6. Step 6: Final answer
    x = 8,411.05

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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.