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Finding the Fourth Proportional to 6,802.74, 10,194.38 and 3,875.00

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Solution

The fourth proportional to 6,802.74, 10,194.38 and 3,875.00 is: 5,806.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,802.74 : 10,194.38 = 3,875.00 : x
  2. Step 2: Convert to fraction form
    6,802.74/10,194.38 = 3,875.00/x
  3. Step 3: Cross multiply
    6,802.74x = 10,194.38 × 3,875.00
  4. Step 4: Simplify right side
    6,802.74x = 39,503,212.18
  5. Step 5: Solve for x
    x = 39,503,212.18/6,802.74
  6. Step 6: Final answer
    x = 5,806.95

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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.