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Finding the Fourth Proportional to 7,057.85, 10,585.25 and 2,126.46

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Solution

The fourth proportional to 7,057.85, 10,585.25 and 2,126.46 is: 3,189.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.85 : 10,585.25 = 2,126.46 : x
  2. Step 2: Convert to fraction form
    7,057.85/10,585.25 = 2,126.46/x
  3. Step 3: Cross multiply
    7,057.85x = 10,585.25 × 2,126.46
  4. Step 4: Simplify right side
    7,057.85x = 22,509,147.75
  5. Step 5: Solve for x
    x = 22,509,147.75/7,057.85
  6. Step 6: Final answer
    x = 3,189.24

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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.