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Finding the Fourth Proportional to 7,181.71, 10,772.48 and 2,802.24

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Solution

The fourth proportional to 7,181.71, 10,772.48 and 2,802.24 is: 4,203.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.71 : 10,772.48 = 2,802.24 : x
  2. Step 2: Convert to fraction form
    7,181.71/10,772.48 = 2,802.24/x
  3. Step 3: Cross multiply
    7,181.71x = 10,772.48 × 2,802.24
  4. Step 4: Simplify right side
    7,181.71x = 30,187,060.34
  5. Step 5: Solve for x
    x = 30,187,060.34/7,181.71
  6. Step 6: Final answer
    x = 4,203.33

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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.