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Finding the Fourth Proportional to 7,319.57, 10,100.94 and 3,962.30

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Solution

The fourth proportional to 7,319.57, 10,100.94 and 3,962.30 is: 5,467.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,319.57 : 10,100.94 = 3,962.30 : x
  2. Step 2: Convert to fraction form
    7,319.57/10,100.94 = 3,962.30/x
  3. Step 3: Cross multiply
    7,319.57x = 10,100.94 × 3,962.30
  4. Step 4: Simplify right side
    7,319.57x = 40,022,928.75
  5. Step 5: Solve for x
    x = 40,022,928.75/7,319.57
  6. Step 6: Final answer
    x = 5,467.93

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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.