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Finding the Fourth Proportional to 10,665.14, 16,002.24 and 4,090.46

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Solution

The fourth proportional to 10,665.14, 16,002.24 and 4,090.46 is: 6,137.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.14 : 16,002.24 = 4,090.46 : x
  2. Step 2: Convert to fraction form
    10,665.14/16,002.24 = 4,090.46/x
  3. Step 3: Cross multiply
    10,665.14x = 16,002.24 × 4,090.46
  4. Step 4: Simplify right side
    10,665.14x = 65,456,522.63
  5. Step 5: Solve for x
    x = 65,456,522.63/10,665.14
  6. Step 6: Final answer
    x = 6,137.43

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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.