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Finding the Fourth Proportional to 10,021.75, 15,028.28 and 4,758.28

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Solution

The fourth proportional to 10,021.75, 15,028.28 and 4,758.28 is: 7,135.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.75 : 15,028.28 = 4,758.28 : x
  2. Step 2: Convert to fraction form
    10,021.75/15,028.28 = 4,758.28/x
  3. Step 3: Cross multiply
    10,021.75x = 15,028.28 × 4,758.28
  4. Step 4: Simplify right side
    10,021.75x = 71,508,665.23
  5. Step 5: Solve for x
    x = 71,508,665.23/10,021.75
  6. Step 6: Final answer
    x = 7,135.35

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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.