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Finding the Fourth Proportional to 10,132.99, 15,200.22 and 3,893.01

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Solution

The fourth proportional to 10,132.99, 15,200.22 and 3,893.01 is: 5,839.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,132.99 : 15,200.22 = 3,893.01 : x
  2. Step 2: Convert to fraction form
    10,132.99/15,200.22 = 3,893.01/x
  3. Step 3: Cross multiply
    10,132.99x = 15,200.22 × 3,893.01
  4. Step 4: Simplify right side
    10,132.99x = 59,174,513.00
  5. Step 5: Solve for x
    x = 59,174,513.00/10,132.99
  6. Step 6: Final answer
    x = 5,839.79

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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.