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Finding the Fourth Proportional to 7,448.84, 11,173.25 and 1,902.19

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Solution

The fourth proportional to 7,448.84, 11,173.25 and 1,902.19 is: 2,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.84 : 11,173.25 = 1,902.19 : x
  2. Step 2: Convert to fraction form
    7,448.84/11,173.25 = 1,902.19/x
  3. Step 3: Cross multiply
    7,448.84x = 11,173.25 × 1,902.19
  4. Step 4: Simplify right side
    7,448.84x = 21,253,632.83
  5. Step 5: Solve for x
    x = 21,253,632.83/7,448.84
  6. Step 6: Final answer
    x = 2,853.28

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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.