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Finding the Fourth Proportional to 10,948.06, 16,416.22 and 3,450.22

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Solution

The fourth proportional to 10,948.06, 16,416.22 and 3,450.22 is: 5,173.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,948.06 : 16,416.22 = 3,450.22 : x
  2. Step 2: Convert to fraction form
    10,948.06/16,416.22 = 3,450.22/x
  3. Step 3: Cross multiply
    10,948.06x = 16,416.22 × 3,450.22
  4. Step 4: Simplify right side
    10,948.06x = 56,639,570.57
  5. Step 5: Solve for x
    x = 56,639,570.57/10,948.06
  6. Step 6: Final answer
    x = 5,173.48

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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.