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Finding the Fourth Proportional to 10,462.86, 14,441.04 and 8,189.67

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Solution

The fourth proportional to 10,462.86, 14,441.04 and 8,189.67 is: 11,303.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,462.86 : 14,441.04 = 8,189.67 : x
  2. Step 2: Convert to fraction form
    10,462.86/14,441.04 = 8,189.67/x
  3. Step 3: Cross multiply
    10,462.86x = 14,441.04 × 8,189.67
  4. Step 4: Simplify right side
    10,462.86x = 118,267,352.06
  5. Step 5: Solve for x
    x = 118,267,352.06/10,462.86
  6. Step 6: Final answer
    x = 11,303.54

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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.