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Finding the Fourth Proportional to 10,283.93, 14,191.73 and 5,808.54

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Solution

The fourth proportional to 10,283.93, 14,191.73 and 5,808.54 is: 8,015.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,283.93 : 14,191.73 = 5,808.54 : x
  2. Step 2: Convert to fraction form
    10,283.93/14,191.73 = 5,808.54/x
  3. Step 3: Cross multiply
    10,283.93x = 14,191.73 × 5,808.54
  4. Step 4: Simplify right side
    10,283.93x = 82,433,231.37
  5. Step 5: Solve for x
    x = 82,433,231.37/10,283.93
  6. Step 6: Final answer
    x = 8,015.73

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.