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Finding the Fourth Proportional to 10,006.54, 14,997.05 and 3,760.83

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Solution

The fourth proportional to 10,006.54, 14,997.05 and 3,760.83 is: 5,636.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,006.54 : 14,997.05 = 3,760.83 : x
  2. Step 2: Convert to fraction form
    10,006.54/14,997.05 = 3,760.83/x
  3. Step 3: Cross multiply
    10,006.54x = 14,997.05 × 3,760.83
  4. Step 4: Simplify right side
    10,006.54x = 56,401,350.85
  5. Step 5: Solve for x
    x = 56,401,350.85/10,006.54
  6. Step 6: Final answer
    x = 5,636.45

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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.