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Finding the Fourth Proportional to 7,219.74, 10,830.12 and 2,289.72

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Solution

The fourth proportional to 7,219.74, 10,830.12 and 2,289.72 is: 3,434.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,219.74 : 10,830.12 = 2,289.72 : x
  2. Step 2: Convert to fraction form
    7,219.74/10,830.12 = 2,289.72/x
  3. Step 3: Cross multiply
    7,219.74x = 10,830.12 × 2,289.72
  4. Step 4: Simplify right side
    7,219.74x = 24,797,942.37
  5. Step 5: Solve for x
    x = 24,797,942.37/7,219.74
  6. Step 6: Final answer
    x = 3,434.74

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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.