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Finding the Fourth Proportional to 11,477.57, 17,214.12 and 3,155.45

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Solution

The fourth proportional to 11,477.57, 17,214.12 and 3,155.45 is: 4,732.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,477.57 : 17,214.12 = 3,155.45 : x
  2. Step 2: Convert to fraction form
    11,477.57/17,214.12 = 3,155.45/x
  3. Step 3: Cross multiply
    11,477.57x = 17,214.12 × 3,155.45
  4. Step 4: Simplify right side
    11,477.57x = 54,318,208.88
  5. Step 5: Solve for x
    x = 54,318,208.88/11,477.57
  6. Step 6: Final answer
    x = 4,732.56

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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.