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Finding the Fourth Proportional to 8,294.08, 12,444 and 5,531.84

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Solution

The fourth proportional to 8,294.08, 12,444 and 5,531.84 is: 8,299.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,294.08 : 12,444 = 5,531.84 : x
  2. Step 2: Convert to fraction form
    8,294.08/12,444 = 5,531.84/x
  3. Step 3: Cross multiply
    8,294.08x = 12,444 × 5,531.84
  4. Step 4: Simplify right side
    8,294.08x = 68,838,216.96
  5. Step 5: Solve for x
    x = 68,838,216.96/8,294.08
  6. Step 6: Final answer
    x = 8,299.68

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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.