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Finding the Fourth Proportional to 8,114.67, 11,196.32 and 4,927.84

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Solution

The fourth proportional to 8,114.67, 11,196.32 and 4,927.84 is: 6,799.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,114.67 : 11,196.32 = 4,927.84 : x
  2. Step 2: Convert to fraction form
    8,114.67/11,196.32 = 4,927.84/x
  3. Step 3: Cross multiply
    8,114.67x = 11,196.32 × 4,927.84
  4. Step 4: Simplify right side
    8,114.67x = 55,173,620.92
  5. Step 5: Solve for x
    x = 55,173,620.92/8,114.67
  6. Step 6: Final answer
    x = 6,799.24

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.