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Finding the Fourth Proportional to 10,692, 16,041.24 and 3,768.12

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Solution

The fourth proportional to 10,692, 16,041.24 and 3,768.12 is: 5,653.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,692 : 16,041.24 = 3,768.12 : x
  2. Step 2: Convert to fraction form
    10,692/16,041.24 = 3,768.12/x
  3. Step 3: Cross multiply
    10,692x = 16,041.24 × 3,768.12
  4. Step 4: Simplify right side
    10,692x = 60,445,317.27
  5. Step 5: Solve for x
    x = 60,445,317.27/10,692
  6. Step 6: Final answer
    x = 5,653.32

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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.