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Finding the Fourth Proportional to 7,185.33, 10,782.90 and 2,802.33

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Solution

The fourth proportional to 7,185.33, 10,782.90 and 2,802.33 is: 4,205.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,185.33 : 10,782.90 = 2,802.33 : x
  2. Step 2: Convert to fraction form
    7,185.33/10,782.90 = 2,802.33/x
  3. Step 3: Cross multiply
    7,185.33x = 10,782.90 × 2,802.33
  4. Step 4: Simplify right side
    7,185.33x = 30,217,244.16
  5. Step 5: Solve for x
    x = 30,217,244.16/7,185.33
  6. Step 6: Final answer
    x = 4,205.41

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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.