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Finding the Fourth Proportional to 10,313.90, 15,471.10 and 2,522.78

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Solution

The fourth proportional to 10,313.90, 15,471.10 and 2,522.78 is: 3,784.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,313.90 : 15,471.10 = 2,522.78 : x
  2. Step 2: Convert to fraction form
    10,313.90/15,471.10 = 2,522.78/x
  3. Step 3: Cross multiply
    10,313.90x = 15,471.10 × 2,522.78
  4. Step 4: Simplify right side
    10,313.90x = 39,030,181.66
  5. Step 5: Solve for x
    x = 39,030,181.66/10,313.90
  6. Step 6: Final answer
    x = 3,784.23

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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.