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Finding the Fourth Proportional to 6,782.81, 10,172.93 and 2,102.22

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Solution

The fourth proportional to 6,782.81, 10,172.93 and 2,102.22 is: 3,152.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,782.81 : 10,172.93 = 2,102.22 : x
  2. Step 2: Convert to fraction form
    6,782.81/10,172.93 = 2,102.22/x
  3. Step 3: Cross multiply
    6,782.81x = 10,172.93 × 2,102.22
  4. Step 4: Simplify right side
    6,782.81x = 21,385,726.39
  5. Step 5: Solve for x
    x = 21,385,726.39/6,782.81
  6. Step 6: Final answer
    x = 3,152.93

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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.