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Finding the Fourth Proportional to 8,221.20, 11,342.40 and 5,702.40

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Solution

The fourth proportional to 8,221.20, 11,342.40 and 5,702.40 is: 7,867.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,221.20 : 11,342.40 = 5,702.40 : x
  2. Step 2: Convert to fraction form
    8,221.20/11,342.40 = 5,702.40/x
  3. Step 3: Cross multiply
    8,221.20x = 11,342.40 × 5,702.40
  4. Step 4: Simplify right side
    8,221.20x = 64,678,901.76
  5. Step 5: Solve for x
    x = 64,678,901.76/8,221.20
  6. Step 6: Final answer
    x = 7,867.33

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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.