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Finding the Fourth Proportional to 7,219.89, 10,830.14 and 2,289.42

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Solution

The fourth proportional to 7,219.89, 10,830.14 and 2,289.42 is: 3,434.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.89 : 10,830.14 = 2,289.42 : x
  2. Step 2: Convert to fraction form
    7,219.89/10,830.14 = 2,289.42/x
  3. Step 3: Cross multiply
    7,219.89x = 10,830.14 × 2,289.42
  4. Step 4: Simplify right side
    7,219.89x = 24,794,739.12
  5. Step 5: Solve for x
    x = 24,794,739.12/7,219.89
  6. Step 6: Final answer
    x = 3,434.23

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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.