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Finding the Fourth Proportional to 11,662.50, 16,094.22 and 7,125.14

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Solution

The fourth proportional to 11,662.50, 16,094.22 and 7,125.14 is: 9,832.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.50 : 16,094.22 = 7,125.14 : x
  2. Step 2: Convert to fraction form
    11,662.50/16,094.22 = 7,125.14/x
  3. Step 3: Cross multiply
    11,662.50x = 16,094.22 × 7,125.14
  4. Step 4: Simplify right side
    11,662.50x = 114,673,570.69
  5. Step 5: Solve for x
    x = 114,673,570.69/11,662.50
  6. Step 6: Final answer
    x = 9,832.67

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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.