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Finding the Fourth Proportional to 7,471.80, 11,206.32 and 2,790.72

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Solution

The fourth proportional to 7,471.80, 11,206.32 and 2,790.72 is: 4,185.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,471.80 : 11,206.32 = 2,790.72 : x
  2. Step 2: Convert to fraction form
    7,471.80/11,206.32 = 2,790.72/x
  3. Step 3: Cross multiply
    7,471.80x = 11,206.32 × 2,790.72
  4. Step 4: Simplify right side
    7,471.80x = 31,273,701.35
  5. Step 5: Solve for x
    x = 31,273,701.35/7,471.80
  6. Step 6: Final answer
    x = 4,185.56

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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.