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Finding the Fourth Proportional to 7,953.44, 11,930.72 and 2,110

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Solution

The fourth proportional to 7,953.44, 11,930.72 and 2,110 is: 3,165.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.44 : 11,930.72 = 2,110 : x
  2. Step 2: Convert to fraction form
    7,953.44/11,930.72 = 2,110/x
  3. Step 3: Cross multiply
    7,953.44x = 11,930.72 × 2,110
  4. Step 4: Simplify right side
    7,953.44x = 25,173,819.20
  5. Step 5: Solve for x
    x = 25,173,819.20/7,953.44
  6. Step 6: Final answer
    x = 3,165.15

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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.