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Finding the Fourth Proportional to 8,837.64, 13,257.84 and 2,992.68

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Solution

The fourth proportional to 8,837.64, 13,257.84 and 2,992.68 is: 4,489.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,837.64 : 13,257.84 = 2,992.68 : x
  2. Step 2: Convert to fraction form
    8,837.64/13,257.84 = 2,992.68/x
  3. Step 3: Cross multiply
    8,837.64x = 13,257.84 × 2,992.68
  4. Step 4: Simplify right side
    8,837.64x = 39,676,472.61
  5. Step 5: Solve for x
    x = 39,676,472.61/8,837.64
  6. Step 6: Final answer
    x = 4,489.49

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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.