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Finding the Fourth Proportional to 10,019.16, 15,028.74 and 3,858.84

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Solution

The fourth proportional to 10,019.16, 15,028.74 and 3,858.84 is: 5,788.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.16 : 15,028.74 = 3,858.84 : x
  2. Step 2: Convert to fraction form
    10,019.16/15,028.74 = 3,858.84/x
  3. Step 3: Cross multiply
    10,019.16x = 15,028.74 × 3,858.84
  4. Step 4: Simplify right side
    10,019.16x = 57,993,503.06
  5. Step 5: Solve for x
    x = 57,993,503.06/10,019.16
  6. Step 6: Final answer
    x = 5,788.26

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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.