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Finding the Fourth Proportional to 11,854.94, 17,783.33 and 3,534.31

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Solution

The fourth proportional to 11,854.94, 17,783.33 and 3,534.31 is: 5,301.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.94 : 17,783.33 = 3,534.31 : x
  2. Step 2: Convert to fraction form
    11,854.94/17,783.33 = 3,534.31/x
  3. Step 3: Cross multiply
    11,854.94x = 17,783.33 × 3,534.31
  4. Step 4: Simplify right side
    11,854.94x = 62,851,738.92
  5. Step 5: Solve for x
    x = 62,851,738.92/11,854.94
  6. Step 6: Final answer
    x = 5,301.73

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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.