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Finding the Fourth Proportional to 10,665.45, 15,998.58 and 4,092.30

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Solution

The fourth proportional to 10,665.45, 15,998.58 and 4,092.30 is: 6,138.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.45 : 15,998.58 = 4,092.30 : x
  2. Step 2: Convert to fraction form
    10,665.45/15,998.58 = 4,092.30/x
  3. Step 3: Cross multiply
    10,665.45x = 15,998.58 × 4,092.30
  4. Step 4: Simplify right side
    10,665.45x = 65,470,988.93
  5. Step 5: Solve for x
    x = 65,470,988.93/10,665.45
  6. Step 6: Final answer
    x = 6,138.61

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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.