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Finding the Fourth Proportional to 7,716.57, 11,572.45 and 2,785.57

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Solution

The fourth proportional to 7,716.57, 11,572.45 and 2,785.57 is: 4,177.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,716.57 : 11,572.45 = 2,785.57 : x
  2. Step 2: Convert to fraction form
    7,716.57/11,572.45 = 2,785.57/x
  3. Step 3: Cross multiply
    7,716.57x = 11,572.45 × 2,785.57
  4. Step 4: Simplify right side
    7,716.57x = 32,235,869.55
  5. Step 5: Solve for x
    x = 32,235,869.55/7,716.57
  6. Step 6: Final answer
    x = 4,177.49

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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.