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Finding the Fourth Proportional to 8,837.62, 13,239.74 and 8,322.86

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Solution

The fourth proportional to 8,837.62, 13,239.74 and 8,322.86 is: 12,468.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,837.62 : 13,239.74 = 8,322.86 : x
  2. Step 2: Convert to fraction form
    8,837.62/13,239.74 = 8,322.86/x
  3. Step 3: Cross multiply
    8,837.62x = 13,239.74 × 8,322.86
  4. Step 4: Simplify right side
    8,837.62x = 110,192,502.46
  5. Step 5: Solve for x
    x = 110,192,502.46/8,837.62
  6. Step 6: Final answer
    x = 12,468.57

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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.