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Finding the Fourth Proportional to 11,783.80, 17,662.74 and 4,854.52

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Solution

The fourth proportional to 11,783.80, 17,662.74 and 4,854.52 is: 7,276.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,783.80 : 17,662.74 = 4,854.52 : x
  2. Step 2: Convert to fraction form
    11,783.80/17,662.74 = 4,854.52/x
  3. Step 3: Cross multiply
    11,783.80x = 17,662.74 × 4,854.52
  4. Step 4: Simplify right side
    11,783.80x = 85,744,124.58
  5. Step 5: Solve for x
    x = 85,744,124.58/11,783.80
  6. Step 6: Final answer
    x = 7,276.44

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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.