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Finding the Fourth Proportional to 10,313.44, 15,470.46 and 2,522.25

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Solution

The fourth proportional to 10,313.44, 15,470.46 and 2,522.25 is: 3,783.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.44 : 15,470.46 = 2,522.25 : x
  2. Step 2: Convert to fraction form
    10,313.44/15,470.46 = 2,522.25/x
  3. Step 3: Cross multiply
    10,313.44x = 15,470.46 × 2,522.25
  4. Step 4: Simplify right side
    10,313.44x = 39,020,367.74
  5. Step 5: Solve for x
    x = 39,020,367.74/10,313.44
  6. Step 6: Final answer
    x = 3,783.45

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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.