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Finding the Fourth Proportional to 8,380.18, 12,560.55 and 6,738.58

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Solution

The fourth proportional to 8,380.18, 12,560.55 and 6,738.58 is: 10,100.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,380.18 : 12,560.55 = 6,738.58 : x
  2. Step 2: Convert to fraction form
    8,380.18/12,560.55 = 6,738.58/x
  3. Step 3: Cross multiply
    8,380.18x = 12,560.55 × 6,738.58
  4. Step 4: Simplify right side
    8,380.18x = 84,640,271.02
  5. Step 5: Solve for x
    x = 84,640,271.02/8,380.18
  6. Step 6: Final answer
    x = 10,100.05

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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.