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Finding the Fourth Proportional to 7,765.38, 10,716.36 and 4,228.60

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Solution

The fourth proportional to 7,765.38, 10,716.36 and 4,228.60 is: 5,835.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,765.38 : 10,716.36 = 4,228.60 : x
  2. Step 2: Convert to fraction form
    7,765.38/10,716.36 = 4,228.60/x
  3. Step 3: Cross multiply
    7,765.38x = 10,716.36 × 4,228.60
  4. Step 4: Simplify right side
    7,765.38x = 45,315,199.90
  5. Step 5: Solve for x
    x = 45,315,199.90/7,765.38
  6. Step 6: Final answer
    x = 5,835.54

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.