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Finding the Fourth Proportional to 7,090.56, 10,634.42 and 6,739.29

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Solution

The fourth proportional to 7,090.56, 10,634.42 and 6,739.29 is: 10,107.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,090.56 : 10,634.42 = 6,739.29 : x
  2. Step 2: Convert to fraction form
    7,090.56/10,634.42 = 6,739.29/x
  3. Step 3: Cross multiply
    7,090.56x = 10,634.42 × 6,739.29
  4. Step 4: Simplify right side
    7,090.56x = 71,668,406.67
  5. Step 5: Solve for x
    x = 71,668,406.67/7,090.56
  6. Step 6: Final answer
    x = 10,107.58

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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.