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Finding the Fourth Proportional to 8,200.16, 12,300.36 and 7,801.76

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Solution

The fourth proportional to 8,200.16, 12,300.36 and 7,801.76 is: 11,702.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,200.16 : 12,300.36 = 7,801.76 : x
  2. Step 2: Convert to fraction form
    8,200.16/12,300.36 = 7,801.76/x
  3. Step 3: Cross multiply
    8,200.16x = 12,300.36 × 7,801.76
  4. Step 4: Simplify right side
    8,200.16x = 95,964,456.63
  5. Step 5: Solve for x
    x = 95,964,456.63/8,200.16
  6. Step 6: Final answer
    x = 11,702.75

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.