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Finding the Fourth Proportional to 6,684.84, 10,026.95 and 3,172.27

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Solution

The fourth proportional to 6,684.84, 10,026.95 and 3,172.27 is: 4,758.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,684.84 : 10,026.95 = 3,172.27 : x
  2. Step 2: Convert to fraction form
    6,684.84/10,026.95 = 3,172.27/x
  3. Step 3: Cross multiply
    6,684.84x = 10,026.95 × 3,172.27
  4. Step 4: Simplify right side
    6,684.84x = 31,808,192.68
  5. Step 5: Solve for x
    x = 31,808,192.68/6,684.84
  6. Step 6: Final answer
    x = 4,758.26

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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.