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Finding the Fourth Proportional to 7,101.42, 10,635.89 and 3,406.28

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Solution

The fourth proportional to 7,101.42, 10,635.89 and 3,406.28 is: 5,101.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,101.42 : 10,635.89 = 3,406.28 : x
  2. Step 2: Convert to fraction form
    7,101.42/10,635.89 = 3,406.28/x
  3. Step 3: Cross multiply
    7,101.42x = 10,635.89 × 3,406.28
  4. Step 4: Simplify right side
    7,101.42x = 36,228,749.18
  5. Step 5: Solve for x
    x = 36,228,749.18/7,101.42
  6. Step 6: Final answer
    x = 5,101.62

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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.