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Finding the Fourth Proportional to 10,313.67, 15,470.57 and 2,522.48

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Solution

The fourth proportional to 10,313.67, 15,470.57 and 2,522.48 is: 3,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.67 : 15,470.57 = 2,522.48 : x
  2. Step 2: Convert to fraction form
    10,313.67/15,470.57 = 2,522.48/x
  3. Step 3: Cross multiply
    10,313.67x = 15,470.57 × 2,522.48
  4. Step 4: Simplify right side
    10,313.67x = 39,024,248.40
  5. Step 5: Solve for x
    x = 39,024,248.40/10,313.67
  6. Step 6: Final answer
    x = 3,783.74

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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.