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Finding the Fourth Proportional to 11,474.41, 17,205.93 and 4,077.76

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Solution

The fourth proportional to 11,474.41, 17,205.93 and 4,077.76 is: 6,114.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,474.41 : 17,205.93 = 4,077.76 : x
  2. Step 2: Convert to fraction form
    11,474.41/17,205.93 = 4,077.76/x
  3. Step 3: Cross multiply
    11,474.41x = 17,205.93 × 4,077.76
  4. Step 4: Simplify right side
    11,474.41x = 70,161,653.12
  5. Step 5: Solve for x
    x = 70,161,653.12/11,474.41
  6. Step 6: Final answer
    x = 6,114.62

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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.