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Finding the Fourth Proportional to 8,214.34, 11,333.34 and 4,857.46

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Solution

The fourth proportional to 8,214.34, 11,333.34 and 4,857.46 is: 6,701.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.34 : 11,333.34 = 4,857.46 : x
  2. Step 2: Convert to fraction form
    8,214.34/11,333.34 = 4,857.46/x
  3. Step 3: Cross multiply
    8,214.34x = 11,333.34 × 4,857.46
  4. Step 4: Simplify right side
    8,214.34x = 55,051,245.72
  5. Step 5: Solve for x
    x = 55,051,245.72/8,214.34
  6. Step 6: Final answer
    x = 6,701.85

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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.