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Finding the Fourth Proportional to 6,765.75, 10,152.46 and 3,645.68

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Solution

The fourth proportional to 6,765.75, 10,152.46 and 3,645.68 is: 5,470.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,765.75 : 10,152.46 = 3,645.68 : x
  2. Step 2: Convert to fraction form
    6,765.75/10,152.46 = 3,645.68/x
  3. Step 3: Cross multiply
    6,765.75x = 10,152.46 × 3,645.68
  4. Step 4: Simplify right side
    6,765.75x = 37,012,670.08
  5. Step 5: Solve for x
    x = 37,012,670.08/6,765.75
  6. Step 6: Final answer
    x = 5,470.59

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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.