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Finding the Fourth Proportional to 10,021.99, 15,035.87 and 3,002.53

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Solution

The fourth proportional to 10,021.99, 15,035.87 and 3,002.53 is: 4,504.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,021.99 : 15,035.87 = 3,002.53 : x
  2. Step 2: Convert to fraction form
    10,021.99/15,035.87 = 3,002.53/x
  3. Step 3: Cross multiply
    10,021.99x = 15,035.87 × 3,002.53
  4. Step 4: Simplify right side
    10,021.99x = 45,145,650.75
  5. Step 5: Solve for x
    x = 45,145,650.75/10,021.99
  6. Step 6: Final answer
    x = 4,504.66

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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.