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Finding the Fourth Proportional to 11,851.36, 17,765.68 and 5,278.40

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Solution

The fourth proportional to 11,851.36, 17,765.68 and 5,278.40 is: 7,912.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,851.36 : 17,765.68 = 5,278.40 : x
  2. Step 2: Convert to fraction form
    11,851.36/17,765.68 = 5,278.40/x
  3. Step 3: Cross multiply
    11,851.36x = 17,765.68 × 5,278.40
  4. Step 4: Simplify right side
    11,851.36x = 93,774,365.31
  5. Step 5: Solve for x
    x = 93,774,365.31/11,851.36
  6. Step 6: Final answer
    x = 7,912.54

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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.