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Finding the Fourth Proportional to 8,208.46, 11,313.03 and 6,214.24

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Solution

The fourth proportional to 8,208.46, 11,313.03 and 6,214.24 is: 8,564.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,208.46 : 11,313.03 = 6,214.24 : x
  2. Step 2: Convert to fraction form
    8,208.46/11,313.03 = 6,214.24/x
  3. Step 3: Cross multiply
    8,208.46x = 11,313.03 × 6,214.24
  4. Step 4: Simplify right side
    8,208.46x = 70,301,883.55
  5. Step 5: Solve for x
    x = 70,301,883.55/8,208.46
  6. Step 6: Final answer
    x = 8,564.56

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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.