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Finding the Fourth Proportional to 8,900.82, 12,283.06 and 4,922

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Solution

The fourth proportional to 8,900.82, 12,283.06 and 4,922 is: 6,792.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,900.82 : 12,283.06 = 4,922 : x
  2. Step 2: Convert to fraction form
    8,900.82/12,283.06 = 4,922/x
  3. Step 3: Cross multiply
    8,900.82x = 12,283.06 × 4,922
  4. Step 4: Simplify right side
    8,900.82x = 60,457,221.32
  5. Step 5: Solve for x
    x = 60,457,221.32/8,900.82
  6. Step 6: Final answer
    x = 6,792.32

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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.