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Finding the Fourth Proportional to 11,477.88, 17,213.76 and 3,684.96

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Solution

The fourth proportional to 11,477.88, 17,213.76 and 3,684.96 is: 5,526.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.88 : 17,213.76 = 3,684.96 : x
  2. Step 2: Convert to fraction form
    11,477.88/17,213.76 = 3,684.96/x
  3. Step 3: Cross multiply
    11,477.88x = 17,213.76 × 3,684.96
  4. Step 4: Simplify right side
    11,477.88x = 63,432,017.05
  5. Step 5: Solve for x
    x = 63,432,017.05/11,477.88
  6. Step 6: Final answer
    x = 5,526.46

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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.