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Finding the Fourth Proportional to 10,665.42, 15,998.13 and 4,094.70

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Solution

The fourth proportional to 10,665.42, 15,998.13 and 4,094.70 is: 6,142.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.42 : 15,998.13 = 4,094.70 : x
  2. Step 2: Convert to fraction form
    10,665.42/15,998.13 = 4,094.70/x
  3. Step 3: Cross multiply
    10,665.42x = 15,998.13 × 4,094.70
  4. Step 4: Simplify right side
    10,665.42x = 65,507,542.91
  5. Step 5: Solve for x
    x = 65,507,542.91/10,665.42
  6. Step 6: Final answer
    x = 6,142.05

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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.