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Finding the Fourth Proportional to 11,770.25, 16,243.07 and 6,464.93

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Solution

The fourth proportional to 11,770.25, 16,243.07 and 6,464.93 is: 8,921.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.25 : 16,243.07 = 6,464.93 : x
  2. Step 2: Convert to fraction form
    11,770.25/16,243.07 = 6,464.93/x
  3. Step 3: Cross multiply
    11,770.25x = 16,243.07 × 6,464.93
  4. Step 4: Simplify right side
    11,770.25x = 105,010,197.00
  5. Step 5: Solve for x
    x = 105,010,197.00/11,770.25
  6. Step 6: Final answer
    x = 8,921.67

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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.