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Finding the Fourth Proportional to 11,575.41, 15,974.74 and 6,539.50

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Solution

The fourth proportional to 11,575.41, 15,974.74 and 6,539.50 is: 9,024.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,575.41 : 15,974.74 = 6,539.50 : x
  2. Step 2: Convert to fraction form
    11,575.41/15,974.74 = 6,539.50/x
  3. Step 3: Cross multiply
    11,575.41x = 15,974.74 × 6,539.50
  4. Step 4: Simplify right side
    11,575.41x = 104,466,840.37
  5. Step 5: Solve for x
    x = 104,466,840.37/11,575.41
  6. Step 6: Final answer
    x = 9,024.90

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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.