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Finding the Fourth Proportional to 11,830.46, 17,736.57 and 4,713.90

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Solution

The fourth proportional to 11,830.46, 17,736.57 and 4,713.90 is: 7,067.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,830.46 : 17,736.57 = 4,713.90 : x
  2. Step 2: Convert to fraction form
    11,830.46/17,736.57 = 4,713.90/x
  3. Step 3: Cross multiply
    11,830.46x = 17,736.57 × 4,713.90
  4. Step 4: Simplify right side
    11,830.46x = 83,608,350.81
  5. Step 5: Solve for x
    x = 83,608,350.81/11,830.46
  6. Step 6: Final answer
    x = 7,067.21

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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.