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Finding the Fourth Proportional to 10,019.53, 15,027.02 and 3,780.20

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Solution

The fourth proportional to 10,019.53, 15,027.02 and 3,780.20 is: 5,669.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,019.53 : 15,027.02 = 3,780.20 : x
  2. Step 2: Convert to fraction form
    10,019.53/15,027.02 = 3,780.20/x
  3. Step 3: Cross multiply
    10,019.53x = 15,027.02 × 3,780.20
  4. Step 4: Simplify right side
    10,019.53x = 56,805,173.85
  5. Step 5: Solve for x
    x = 56,805,173.85/10,019.53
  6. Step 6: Final answer
    x = 5,669.44

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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.