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Finding the Fourth Proportional to 11,610.44, 16,023.41 and 6,575.55

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Solution

The fourth proportional to 11,610.44, 16,023.41 and 6,575.55 is: 9,074.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,610.44 : 16,023.41 = 6,575.55 : x
  2. Step 2: Convert to fraction form
    11,610.44/16,023.41 = 6,575.55/x
  3. Step 3: Cross multiply
    11,610.44x = 16,023.41 × 6,575.55
  4. Step 4: Simplify right side
    11,610.44x = 105,362,700.75
  5. Step 5: Solve for x
    x = 105,362,700.75/11,610.44
  6. Step 6: Final answer
    x = 9,074.82

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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.