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Finding the Fourth Proportional to 11,375.94, 15,697.53 and 6,900.78

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Solution

The fourth proportional to 11,375.94, 15,697.53 and 6,900.78 is: 9,522.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,375.94 : 15,697.53 = 6,900.78 : x
  2. Step 2: Convert to fraction form
    11,375.94/15,697.53 = 6,900.78/x
  3. Step 3: Cross multiply
    11,375.94x = 15,697.53 × 6,900.78
  4. Step 4: Simplify right side
    11,375.94x = 108,325,201.07
  5. Step 5: Solve for x
    x = 108,325,201.07/11,375.94
  6. Step 6: Final answer
    x = 9,522.31

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.