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Finding the Fourth Proportional to 10,510.30, 15,755.70 and 3,940.78

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Solution

The fourth proportional to 10,510.30, 15,755.70 and 3,940.78 is: 5,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,510.30 : 15,755.70 = 3,940.78 : x
  2. Step 2: Convert to fraction form
    10,510.30/15,755.70 = 3,940.78/x
  3. Step 3: Cross multiply
    10,510.30x = 15,755.70 × 3,940.78
  4. Step 4: Simplify right side
    10,510.30x = 62,089,747.45
  5. Step 5: Solve for x
    x = 62,089,747.45/10,510.30
  6. Step 6: Final answer
    x = 5,907.51

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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.