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Finding the Fourth Proportional to 7,850.70, 11,784.33 and 4,738.32

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Solution

The fourth proportional to 7,850.70, 11,784.33 and 4,738.32 is: 7,112.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,850.70 : 11,784.33 = 4,738.32 : x
  2. Step 2: Convert to fraction form
    7,850.70/11,784.33 = 4,738.32/x
  3. Step 3: Cross multiply
    7,850.70x = 11,784.33 × 4,738.32
  4. Step 4: Simplify right side
    7,850.70x = 55,837,926.53
  5. Step 5: Solve for x
    x = 55,837,926.53/7,850.70
  6. Step 6: Final answer
    x = 7,112.48

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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.