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Finding the Fourth Proportional to 7,090.95, 10,642.08 and 3,195.66

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Solution

The fourth proportional to 7,090.95, 10,642.08 and 3,195.66 is: 4,796.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.95 : 10,642.08 = 3,195.66 : x
  2. Step 2: Convert to fraction form
    7,090.95/10,642.08 = 3,195.66/x
  3. Step 3: Cross multiply
    7,090.95x = 10,642.08 × 3,195.66
  4. Step 4: Simplify right side
    7,090.95x = 34,008,469.37
  5. Step 5: Solve for x
    x = 34,008,469.37/7,090.95
  6. Step 6: Final answer
    x = 4,796.04

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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.