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Finding the Fourth Proportional to 8,420.78, 12,630.98 and 2,095.58

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Solution

The fourth proportional to 8,420.78, 12,630.98 and 2,095.58 is: 3,143.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,420.78 : 12,630.98 = 2,095.58 : x
  2. Step 2: Convert to fraction form
    8,420.78/12,630.98 = 2,095.58/x
  3. Step 3: Cross multiply
    8,420.78x = 12,630.98 × 2,095.58
  4. Step 4: Simplify right side
    8,420.78x = 26,469,229.07
  5. Step 5: Solve for x
    x = 26,469,229.07/8,420.78
  6. Step 6: Final answer
    x = 3,143.32

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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.