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Finding the Fourth Proportional to 10,745.34, 16,142.70 and 7,632.90

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Solution

The fourth proportional to 10,745.34, 16,142.70 and 7,632.90 is: 11,466.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,745.34 : 16,142.70 = 7,632.90 : x
  2. Step 2: Convert to fraction form
    10,745.34/16,142.70 = 7,632.90/x
  3. Step 3: Cross multiply
    10,745.34x = 16,142.70 × 7,632.90
  4. Step 4: Simplify right side
    10,745.34x = 123,215,614.83
  5. Step 5: Solve for x
    x = 123,215,614.83/10,745.34
  6. Step 6: Final answer
    x = 11,466.89

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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.