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Finding the Fourth Proportional to 10,313.63, 15,470.74 and 2,522.44

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Solution

The fourth proportional to 10,313.63, 15,470.74 and 2,522.44 is: 3,783.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.63 : 15,470.74 = 2,522.44 : x
  2. Step 2: Convert to fraction form
    10,313.63/15,470.74 = 2,522.44/x
  3. Step 3: Cross multiply
    10,313.63x = 15,470.74 × 2,522.44
  4. Step 4: Simplify right side
    10,313.63x = 39,023,977.88
  5. Step 5: Solve for x
    x = 39,023,977.88/10,313.63
  6. Step 6: Final answer
    x = 3,783.73

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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.