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Finding the Fourth Proportional to 8,214.71, 11,334.24 and 4,628.97

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Solution

The fourth proportional to 8,214.71, 11,334.24 and 4,628.97 is: 6,386.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.71 : 11,334.24 = 4,628.97 : x
  2. Step 2: Convert to fraction form
    8,214.71/11,334.24 = 4,628.97/x
  3. Step 3: Cross multiply
    8,214.71x = 11,334.24 × 4,628.97
  4. Step 4: Simplify right side
    8,214.71x = 52,465,856.93
  5. Step 5: Solve for x
    x = 52,465,856.93/8,214.71
  6. Step 6: Final answer
    x = 6,386.82

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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.