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Finding the Fourth Proportional to 10,020.56, 15,021.12 and 3,778.88

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Solution

The fourth proportional to 10,020.56, 15,021.12 and 3,778.88 is: 5,664.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,020.56 : 15,021.12 = 3,778.88 : x
  2. Step 2: Convert to fraction form
    10,020.56/15,021.12 = 3,778.88/x
  3. Step 3: Cross multiply
    10,020.56x = 15,021.12 × 3,778.88
  4. Step 4: Simplify right side
    10,020.56x = 56,763,009.95
  5. Step 5: Solve for x
    x = 56,763,009.95/10,020.56
  6. Step 6: Final answer
    x = 5,664.65

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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.