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Finding the Fourth Proportional to 7,057.08, 10,588.16 and 2,674.50

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Solution

The fourth proportional to 7,057.08, 10,588.16 and 2,674.50 is: 4,012.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.08 : 10,588.16 = 2,674.50 : x
  2. Step 2: Convert to fraction form
    7,057.08/10,588.16 = 2,674.50/x
  3. Step 3: Cross multiply
    7,057.08x = 10,588.16 × 2,674.50
  4. Step 4: Simplify right side
    7,057.08x = 28,318,040.61
  5. Step 5: Solve for x
    x = 28,318,040.61/7,057.08
  6. Step 6: Final answer
    x = 4,012.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.