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Finding the Fourth Proportional to 8,214.94, 11,325.31 and 6,197.46

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Solution

The fourth proportional to 8,214.94, 11,325.31 and 6,197.46 is: 8,543.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.94 : 11,325.31 = 6,197.46 : x
  2. Step 2: Convert to fraction form
    8,214.94/11,325.31 = 6,197.46/x
  3. Step 3: Cross multiply
    8,214.94x = 11,325.31 × 6,197.46
  4. Step 4: Simplify right side
    8,214.94x = 70,188,155.71
  5. Step 5: Solve for x
    x = 70,188,155.71/8,214.94
  6. Step 6: Final answer
    x = 8,543.96

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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.