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Finding the Fourth Proportional to 10,235.12, 15,341.40 and 3,993.98

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Solution

The fourth proportional to 10,235.12, 15,341.40 and 3,993.98 is: 5,986.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,235.12 : 15,341.40 = 3,993.98 : x
  2. Step 2: Convert to fraction form
    10,235.12/15,341.40 = 3,993.98/x
  3. Step 3: Cross multiply
    10,235.12x = 15,341.40 × 3,993.98
  4. Step 4: Simplify right side
    10,235.12x = 61,273,168.07
  5. Step 5: Solve for x
    x = 61,273,168.07/10,235.12
  6. Step 6: Final answer
    x = 5,986.56

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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.