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Finding the Fourth Proportional to 7,798.36, 11,676.40 and 5,192.92

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Solution

The fourth proportional to 7,798.36, 11,676.40 and 5,192.92 is: 7,775.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,798.36 : 11,676.40 = 5,192.92 : x
  2. Step 2: Convert to fraction form
    7,798.36/11,676.40 = 5,192.92/x
  3. Step 3: Cross multiply
    7,798.36x = 11,676.40 × 5,192.92
  4. Step 4: Simplify right side
    7,798.36x = 60,634,611.09
  5. Step 5: Solve for x
    x = 60,634,611.09/7,798.36
  6. Step 6: Final answer
    x = 7,775.30

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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.