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Finding the Fourth Proportional to 6,732.35, 10,097.73 and 1,802.37

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Solution

The fourth proportional to 6,732.35, 10,097.73 and 1,802.37 is: 2,703.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,732.35 : 10,097.73 = 1,802.37 : x
  2. Step 2: Convert to fraction form
    6,732.35/10,097.73 = 1,802.37/x
  3. Step 3: Cross multiply
    6,732.35x = 10,097.73 × 1,802.37
  4. Step 4: Simplify right side
    6,732.35x = 18,199,845.62
  5. Step 5: Solve for x
    x = 18,199,845.62/6,732.35
  6. Step 6: Final answer
    x = 2,703.34

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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.