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Finding the Fourth Proportional to 11,854.90, 17,783.37 and 3,089.81

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Solution

The fourth proportional to 11,854.90, 17,783.37 and 3,089.81 is: 4,634.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,854.90 : 17,783.37 = 3,089.81 : x
  2. Step 2: Convert to fraction form
    11,854.90/17,783.37 = 3,089.81/x
  3. Step 3: Cross multiply
    11,854.90x = 17,783.37 × 3,089.81
  4. Step 4: Simplify right side
    11,854.90x = 54,947,287.61
  5. Step 5: Solve for x
    x = 54,947,287.61/11,854.90
  6. Step 6: Final answer
    x = 4,634.99

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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.