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Finding the Fourth Proportional to 8,207.76, 12,310.59 and 2,285.09

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Solution

The fourth proportional to 8,207.76, 12,310.59 and 2,285.09 is: 3,427.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,207.76 : 12,310.59 = 2,285.09 : x
  2. Step 2: Convert to fraction form
    8,207.76/12,310.59 = 2,285.09/x
  3. Step 3: Cross multiply
    8,207.76x = 12,310.59 × 2,285.09
  4. Step 4: Simplify right side
    8,207.76x = 28,130,758.23
  5. Step 5: Solve for x
    x = 28,130,758.23/8,207.76
  6. Step 6: Final answer
    x = 3,427.34

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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.