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Finding the Fourth Proportional to 11,485.86, 15,850.53 and 6,517.86

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Solution

The fourth proportional to 11,485.86, 15,850.53 and 6,517.86 is: 8,994.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,485.86 : 15,850.53 = 6,517.86 : x
  2. Step 2: Convert to fraction form
    11,485.86/15,850.53 = 6,517.86/x
  3. Step 3: Cross multiply
    11,485.86x = 15,850.53 × 6,517.86
  4. Step 4: Simplify right side
    11,485.86x = 103,311,535.47
  5. Step 5: Solve for x
    x = 103,311,535.47/11,485.86
  6. Step 6: Final answer
    x = 8,994.67

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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.