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Finding the Fourth Proportional to 10,028.76, 13,837.84 and 5,779.22

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Solution

The fourth proportional to 10,028.76, 13,837.84 and 5,779.22 is: 7,974.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,028.76 : 13,837.84 = 5,779.22 : x
  2. Step 2: Convert to fraction form
    10,028.76/13,837.84 = 5,779.22/x
  3. Step 3: Cross multiply
    10,028.76x = 13,837.84 × 5,779.22
  4. Step 4: Simplify right side
    10,028.76x = 79,971,907.24
  5. Step 5: Solve for x
    x = 79,971,907.24/10,028.76
  6. Step 6: Final answer
    x = 7,974.26

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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.