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Finding the Fourth Proportional to 8,822.68, 13,239.50 and 5,497.45

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Solution

The fourth proportional to 8,822.68, 13,239.50 and 5,497.45 is: 8,249.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.68 : 13,239.50 = 5,497.45 : x
  2. Step 2: Convert to fraction form
    8,822.68/13,239.50 = 5,497.45/x
  3. Step 3: Cross multiply
    8,822.68x = 13,239.50 × 5,497.45
  4. Step 4: Simplify right side
    8,822.68x = 72,783,461.79
  5. Step 5: Solve for x
    x = 72,783,461.79/8,822.68
  6. Step 6: Final answer
    x = 8,249.59

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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.