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Finding the Fourth Proportional to 7,057.43, 10,586.24 and 4,865.57

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Solution

The fourth proportional to 7,057.43, 10,586.24 and 4,865.57 is: 7,298.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,057.43 : 10,586.24 = 4,865.57 : x
  2. Step 2: Convert to fraction form
    7,057.43/10,586.24 = 4,865.57/x
  3. Step 3: Cross multiply
    7,057.43x = 10,586.24 × 4,865.57
  4. Step 4: Simplify right side
    7,057.43x = 51,508,014.50
  5. Step 5: Solve for x
    x = 51,508,014.50/7,057.43
  6. Step 6: Final answer
    x = 7,298.41

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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.