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Finding the Fourth Proportional to 7,645.94, 11,470.71 and 2,380.70

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Solution

The fourth proportional to 7,645.94, 11,470.71 and 2,380.70 is: 3,571.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,645.94 : 11,470.71 = 2,380.70 : x
  2. Step 2: Convert to fraction form
    7,645.94/11,470.71 = 2,380.70/x
  3. Step 3: Cross multiply
    7,645.94x = 11,470.71 × 2,380.70
  4. Step 4: Simplify right side
    7,645.94x = 27,308,319.30
  5. Step 5: Solve for x
    x = 27,308,319.30/7,645.94
  6. Step 6: Final answer
    x = 3,571.61

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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.