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Finding the Fourth Proportional to 8,069.60, 11,105.72 and 6,827

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Solution

The fourth proportional to 8,069.60, 11,105.72 and 6,827 is: 9,395.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,069.60 : 11,105.72 = 6,827 : x
  2. Step 2: Convert to fraction form
    8,069.60/11,105.72 = 6,827/x
  3. Step 3: Cross multiply
    8,069.60x = 11,105.72 × 6,827
  4. Step 4: Simplify right side
    8,069.60x = 75,818,750.44
  5. Step 5: Solve for x
    x = 75,818,750.44/8,069.60
  6. Step 6: Final answer
    x = 9,395.60

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.