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Finding the Fourth Proportional to 7,164.99, 10,735.61 and 5,074.65

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Solution

The fourth proportional to 7,164.99, 10,735.61 and 5,074.65 is: 7,603.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,164.99 : 10,735.61 = 5,074.65 : x
  2. Step 2: Convert to fraction form
    7,164.99/10,735.61 = 5,074.65/x
  3. Step 3: Cross multiply
    7,164.99x = 10,735.61 × 5,074.65
  4. Step 4: Simplify right side
    7,164.99x = 54,479,437.91
  5. Step 5: Solve for x
    x = 54,479,437.91/7,164.99
  6. Step 6: Final answer
    x = 7,603.56

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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.