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Finding the Fourth Proportional to 10,028.78, 13,840.74 and 5,779.99

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Solution

The fourth proportional to 10,028.78, 13,840.74 and 5,779.99 is: 7,976.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.78 : 13,840.74 = 5,779.99 : x
  2. Step 2: Convert to fraction form
    10,028.78/13,840.74 = 5,779.99/x
  3. Step 3: Cross multiply
    10,028.78x = 13,840.74 × 5,779.99
  4. Step 4: Simplify right side
    10,028.78x = 79,999,309.89
  5. Step 5: Solve for x
    x = 79,999,309.89/10,028.78
  6. Step 6: Final answer
    x = 7,976.97

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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.