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Finding the Fourth Proportional to 11,720.34, 17,573.16 and 5,477.67

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Solution

The fourth proportional to 11,720.34, 17,573.16 and 5,477.67 is: 8,213.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,720.34 : 17,573.16 = 5,477.67 : x
  2. Step 2: Convert to fraction form
    11,720.34/17,573.16 = 5,477.67/x
  3. Step 3: Cross multiply
    11,720.34x = 17,573.16 × 5,477.67
  4. Step 4: Simplify right side
    11,720.34x = 96,259,971.34
  5. Step 5: Solve for x
    x = 96,259,971.34/11,720.34
  6. Step 6: Final answer
    x = 8,213.07

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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.