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Finding the Fourth Proportional to 7,174.98, 10,759.74 and 4,709.14

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Solution

The fourth proportional to 7,174.98, 10,759.74 and 4,709.14 is: 7,061.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,174.98 : 10,759.74 = 4,709.14 : x
  2. Step 2: Convert to fraction form
    7,174.98/10,759.74 = 4,709.14/x
  3. Step 3: Cross multiply
    7,174.98x = 10,759.74 × 4,709.14
  4. Step 4: Simplify right side
    7,174.98x = 50,669,077.46
  5. Step 5: Solve for x
    x = 50,669,077.46/7,174.98
  6. Step 6: Final answer
    x = 7,061.91

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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.