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Finding the Fourth Proportional to 7,523.78, 11,289.56 and 5,460.80

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Solution

The fourth proportional to 7,523.78, 11,289.56 and 5,460.80 is: 8,194.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,523.78 : 11,289.56 = 5,460.80 : x
  2. Step 2: Convert to fraction form
    7,523.78/11,289.56 = 5,460.80/x
  3. Step 3: Cross multiply
    7,523.78x = 11,289.56 × 5,460.80
  4. Step 4: Simplify right side
    7,523.78x = 61,650,029.25
  5. Step 5: Solve for x
    x = 61,650,029.25/7,523.78
  6. Step 6: Final answer
    x = 8,194.02

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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.