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Finding the Fourth Proportional to 8,634.32, 11,915.07 and 4,857.56

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Solution

The fourth proportional to 8,634.32, 11,915.07 and 4,857.56 is: 6,703.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,634.32 : 11,915.07 = 4,857.56 : x
  2. Step 2: Convert to fraction form
    8,634.32/11,915.07 = 4,857.56/x
  3. Step 3: Cross multiply
    8,634.32x = 11,915.07 × 4,857.56
  4. Step 4: Simplify right side
    8,634.32x = 57,878,167.43
  5. Step 5: Solve for x
    x = 57,878,167.43/8,634.32
  6. Step 6: Final answer
    x = 6,703.27

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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.