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Finding the Fourth Proportional to 10,000.38, 14,992.47 and 4,161.36

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Solution

The fourth proportional to 10,000.38, 14,992.47 and 4,161.36 is: 6,238.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,000.38 : 14,992.47 = 4,161.36 : x
  2. Step 2: Convert to fraction form
    10,000.38/14,992.47 = 4,161.36/x
  3. Step 3: Cross multiply
    10,000.38x = 14,992.47 × 4,161.36
  4. Step 4: Simplify right side
    10,000.38x = 62,389,064.96
  5. Step 5: Solve for x
    x = 62,389,064.96/10,000.38
  6. Step 6: Final answer
    x = 6,238.67

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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.