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Finding the Fourth Proportional to 10,701.73, 14,768.16 and 5,922.10

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Solution

The fourth proportional to 10,701.73, 14,768.16 and 5,922.10 is: 8,172.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,701.73 : 14,768.16 = 5,922.10 : x
  2. Step 2: Convert to fraction form
    10,701.73/14,768.16 = 5,922.10/x
  3. Step 3: Cross multiply
    10,701.73x = 14,768.16 × 5,922.10
  4. Step 4: Simplify right side
    10,701.73x = 87,458,520.34
  5. Step 5: Solve for x
    x = 87,458,520.34/10,701.73
  6. Step 6: Final answer
    x = 8,172.37

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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.