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Finding the Fourth Proportional to 11,740.81, 16,202.82 and 7,024.18

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Solution

The fourth proportional to 11,740.81, 16,202.82 and 7,024.18 is: 9,693.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,740.81 : 16,202.82 = 7,024.18 : x
  2. Step 2: Convert to fraction form
    11,740.81/16,202.82 = 7,024.18/x
  3. Step 3: Cross multiply
    11,740.81x = 16,202.82 × 7,024.18
  4. Step 4: Simplify right side
    11,740.81x = 113,811,524.19
  5. Step 5: Solve for x
    x = 113,811,524.19/11,740.81
  6. Step 6: Final answer
    x = 9,693.67

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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.