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Finding the Fourth Proportional to 7,506.75, 10,359.32 and 4,194.75

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Solution

The fourth proportional to 7,506.75, 10,359.32 and 4,194.75 is: 5,788.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,506.75 : 10,359.32 = 4,194.75 : x
  2. Step 2: Convert to fraction form
    7,506.75/10,359.32 = 4,194.75/x
  3. Step 3: Cross multiply
    7,506.75x = 10,359.32 × 4,194.75
  4. Step 4: Simplify right side
    7,506.75x = 43,454,736.60
  5. Step 5: Solve for x
    x = 43,454,736.60/7,506.75
  6. Step 6: Final answer
    x = 5,788.76

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