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Finding the Fourth Proportional to 7,851.96, 11,777.88 and 1,928.82

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Solution

The fourth proportional to 7,851.96, 11,777.88 and 1,928.82 is: 2,893.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.96 : 11,777.88 = 1,928.82 : x
  2. Step 2: Convert to fraction form
    7,851.96/11,777.88 = 1,928.82/x
  3. Step 3: Cross multiply
    7,851.96x = 11,777.88 × 1,928.82
  4. Step 4: Simplify right side
    7,851.96x = 22,717,410.50
  5. Step 5: Solve for x
    x = 22,717,410.50/7,851.96
  6. Step 6: Final answer
    x = 2,893.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.