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Finding the Fourth Proportional to 7,100.82, 10,651.32 and 3,980.34

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Solution

The fourth proportional to 7,100.82, 10,651.32 and 3,980.34 is: 5,970.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,100.82 : 10,651.32 = 3,980.34 : x
  2. Step 2: Convert to fraction form
    7,100.82/10,651.32 = 3,980.34/x
  3. Step 3: Cross multiply
    7,100.82x = 10,651.32 × 3,980.34
  4. Step 4: Simplify right side
    7,100.82x = 42,395,875.05
  5. Step 5: Solve for x
    x = 42,395,875.05/7,100.82
  6. Step 6: Final answer
    x = 5,970.56

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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.