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Finding the Fourth Proportional to 11,662.72, 17,501.34 and 5,089

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Solution

The fourth proportional to 11,662.72, 17,501.34 and 5,089 is: 7,636.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,662.72 : 17,501.34 = 5,089 : x
  2. Step 2: Convert to fraction form
    11,662.72/17,501.34 = 5,089/x
  3. Step 3: Cross multiply
    11,662.72x = 17,501.34 × 5,089
  4. Step 4: Simplify right side
    11,662.72x = 89,064,319.26
  5. Step 5: Solve for x
    x = 89,064,319.26/11,662.72
  6. Step 6: Final answer
    x = 7,636.67

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.