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Finding the Fourth Proportional to 7,405.40, 10,219.73 and 4,048.44

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Solution

The fourth proportional to 7,405.40, 10,219.73 and 4,048.44 is: 5,586.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,405.40 : 10,219.73 = 4,048.44 : x
  2. Step 2: Convert to fraction form
    7,405.40/10,219.73 = 4,048.44/x
  3. Step 3: Cross multiply
    7,405.40x = 10,219.73 × 4,048.44
  4. Step 4: Simplify right side
    7,405.40x = 41,373,917.93
  5. Step 5: Solve for x
    x = 41,373,917.93/7,405.40
  6. Step 6: Final answer
    x = 5,586.99

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.