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Finding the Fourth Proportional to 11,477.90, 17,212.80 and 4,082.60

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Solution

The fourth proportional to 11,477.90, 17,212.80 and 4,082.60 is: 6,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.90 : 17,212.80 = 4,082.60 : x
  2. Step 2: Convert to fraction form
    11,477.90/17,212.80 = 4,082.60/x
  3. Step 3: Cross multiply
    11,477.90x = 17,212.80 × 4,082.60
  4. Step 4: Simplify right side
    11,477.90x = 70,272,977.28
  5. Step 5: Solve for x
    x = 70,272,977.28/11,477.90
  6. Step 6: Final answer
    x = 6,122.46

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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.