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Finding the Fourth Proportional to 11,854.47, 17,783.46 and 3,954.42

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Solution

The fourth proportional to 11,854.47, 17,783.46 and 3,954.42 is: 5,932.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.47 : 17,783.46 = 3,954.42 : x
  2. Step 2: Convert to fraction form
    11,854.47/17,783.46 = 3,954.42/x
  3. Step 3: Cross multiply
    11,854.47x = 17,783.46 × 3,954.42
  4. Step 4: Simplify right side
    11,854.47x = 70,323,269.89
  5. Step 5: Solve for x
    x = 70,323,269.89/11,854.47
  6. Step 6: Final answer
    x = 5,932.22

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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.