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Finding the Fourth Proportional to 7,448.63, 11,173.05 and 1,902.02

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Solution

The fourth proportional to 7,448.63, 11,173.05 and 1,902.02 is: 2,853.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,448.63 : 11,173.05 = 1,902.02 : x
  2. Step 2: Convert to fraction form
    7,448.63/11,173.05 = 1,902.02/x
  3. Step 3: Cross multiply
    7,448.63x = 11,173.05 × 1,902.02
  4. Step 4: Simplify right side
    7,448.63x = 21,251,392.49
  5. Step 5: Solve for x
    x = 21,251,392.49/7,448.63
  6. Step 6: Final answer
    x = 2,853.06

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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.