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Finding the Fourth Proportional to 7,181.81, 10,772.70 and 2,802.34

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Solution

The fourth proportional to 7,181.81, 10,772.70 and 2,802.34 is: 4,203.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,181.81 : 10,772.70 = 2,802.34 : x
  2. Step 2: Convert to fraction form
    7,181.81/10,772.70 = 2,802.34/x
  3. Step 3: Cross multiply
    7,181.81x = 10,772.70 × 2,802.34
  4. Step 4: Simplify right side
    7,181.81x = 30,188,768.12
  5. Step 5: Solve for x
    x = 30,188,768.12/7,181.81
  6. Step 6: Final answer
    x = 4,203.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.