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Finding the Fourth Proportional to 10,661.42, 15,993.96 and 3,641.05

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Solution

The fourth proportional to 10,661.42, 15,993.96 and 3,641.05 is: 5,462.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,661.42 : 15,993.96 = 3,641.05 : x
  2. Step 2: Convert to fraction form
    10,661.42/15,993.96 = 3,641.05/x
  3. Step 3: Cross multiply
    10,661.42x = 15,993.96 × 3,641.05
  4. Step 4: Simplify right side
    10,661.42x = 58,234,814.40
  5. Step 5: Solve for x
    x = 58,234,814.40/10,661.42
  6. Step 6: Final answer
    x = 5,462.20

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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.