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Finding the Fourth Proportional to 10,135.34, 15,203.83 and 3,563.00

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Solution

The fourth proportional to 10,135.34, 15,203.83 and 3,563.00 is: 5,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,135.34 : 15,203.83 = 3,563.00 : x
  2. Step 2: Convert to fraction form
    10,135.34/15,203.83 = 3,563.00/x
  3. Step 3: Cross multiply
    10,135.34x = 15,203.83 × 3,563.00
  4. Step 4: Simplify right side
    10,135.34x = 54,171,300.56
  5. Step 5: Solve for x
    x = 54,171,300.56/10,135.34
  6. Step 6: Final answer
    x = 5,344.79

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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.