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Finding the Fourth Proportional to 11,641.34, 17,463.54 and 3,741.23

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Solution

The fourth proportional to 11,641.34, 17,463.54 and 3,741.23 is: 5,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,641.34 : 17,463.54 = 3,741.23 : x
  2. Step 2: Convert to fraction form
    11,641.34/17,463.54 = 3,741.23/x
  3. Step 3: Cross multiply
    11,641.34x = 17,463.54 × 3,741.23
  4. Step 4: Simplify right side
    11,641.34x = 65,335,119.75
  5. Step 5: Solve for x
    x = 65,335,119.75/11,641.34
  6. Step 6: Final answer
    x = 5,612.34

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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.