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Finding the Fourth Proportional to 7,057.44, 10,589.10 and 3,106.68

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Solution

The fourth proportional to 7,057.44, 10,589.10 and 3,106.68 is: 4,661.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.44 : 10,589.10 = 3,106.68 : x
  2. Step 2: Convert to fraction form
    7,057.44/10,589.10 = 3,106.68/x
  3. Step 3: Cross multiply
    7,057.44x = 10,589.10 × 3,106.68
  4. Step 4: Simplify right side
    7,057.44x = 32,896,945.19
  5. Step 5: Solve for x
    x = 32,896,945.19/7,057.44
  6. Step 6: Final answer
    x = 4,661.31

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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.