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Finding the Fourth Proportional to 8,512.60, 12,768.90 and 8,109.40

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Solution

The fourth proportional to 8,512.60, 12,768.90 and 8,109.40 is: 12,164.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,512.60 : 12,768.90 = 8,109.40 : x
  2. Step 2: Convert to fraction form
    8,512.60/12,768.90 = 8,109.40/x
  3. Step 3: Cross multiply
    8,512.60x = 12,768.90 × 8,109.40
  4. Step 4: Simplify right side
    8,512.60x = 103,548,117.66
  5. Step 5: Solve for x
    x = 103,548,117.66/8,512.60
  6. Step 6: Final answer
    x = 12,164.10

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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.