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Finding the Fourth Proportional to 7,783.26, 11,675.64 and 2,851.71

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Solution

The fourth proportional to 7,783.26, 11,675.64 and 2,851.71 is: 4,277.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,783.26 : 11,675.64 = 2,851.71 : x
  2. Step 2: Convert to fraction form
    7,783.26/11,675.64 = 2,851.71/x
  3. Step 3: Cross multiply
    7,783.26x = 11,675.64 × 2,851.71
  4. Step 4: Simplify right side
    7,783.26x = 33,295,539.34
  5. Step 5: Solve for x
    x = 33,295,539.34/7,783.26
  6. Step 6: Final answer
    x = 4,277.84

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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.