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Finding the Fourth Proportional to 8,185.08, 12,278.84 and 3,803

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Solution

The fourth proportional to 8,185.08, 12,278.84 and 3,803 is: 5,705.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,185.08 : 12,278.84 = 3,803 : x
  2. Step 2: Convert to fraction form
    8,185.08/12,278.84 = 3,803/x
  3. Step 3: Cross multiply
    8,185.08x = 12,278.84 × 3,803
  4. Step 4: Simplify right side
    8,185.08x = 46,696,428.52
  5. Step 5: Solve for x
    x = 46,696,428.52/8,185.08
  6. Step 6: Final answer
    x = 5,705.07

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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.