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Finding the Fourth Proportional to 6,669.34, 10,005.09 and 2,052.34

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Solution

The fourth proportional to 6,669.34, 10,005.09 and 2,052.34 is: 3,078.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,669.34 : 10,005.09 = 2,052.34 : x
  2. Step 2: Convert to fraction form
    6,669.34/10,005.09 = 2,052.34/x
  3. Step 3: Cross multiply
    6,669.34x = 10,005.09 × 2,052.34
  4. Step 4: Simplify right side
    6,669.34x = 20,533,846.41
  5. Step 5: Solve for x
    x = 20,533,846.41/6,669.34
  6. Step 6: Final answer
    x = 3,078.84

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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.