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Finding the Fourth Proportional to 10,906.41, 16,351.67 and 4,980.10

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Solution

The fourth proportional to 10,906.41, 16,351.67 and 4,980.10 is: 7,466.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,906.41 : 16,351.67 = 4,980.10 : x
  2. Step 2: Convert to fraction form
    10,906.41/16,351.67 = 4,980.10/x
  3. Step 3: Cross multiply
    10,906.41x = 16,351.67 × 4,980.10
  4. Step 4: Simplify right side
    10,906.41x = 81,432,954.00
  5. Step 5: Solve for x
    x = 81,432,954.00/10,906.41
  6. Step 6: Final answer
    x = 7,466.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.