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Finding the Fourth Proportional to 7,114.57, 10,670.93 and 2,183.80

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Solution

The fourth proportional to 7,114.57, 10,670.93 and 2,183.80 is: 3,275.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,114.57 : 10,670.93 = 2,183.80 : x
  2. Step 2: Convert to fraction form
    7,114.57/10,670.93 = 2,183.80/x
  3. Step 3: Cross multiply
    7,114.57x = 10,670.93 × 2,183.80
  4. Step 4: Simplify right side
    7,114.57x = 23,303,176.93
  5. Step 5: Solve for x
    x = 23,303,176.93/7,114.57
  6. Step 6: Final answer
    x = 3,275.42

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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.