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Finding the Fourth Proportional to 7,477.76, 11,216.68 and 3,092.84

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Solution

The fourth proportional to 7,477.76, 11,216.68 and 3,092.84 is: 4,639.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,477.76 : 11,216.68 = 3,092.84 : x
  2. Step 2: Convert to fraction form
    7,477.76/11,216.68 = 3,092.84/x
  3. Step 3: Cross multiply
    7,477.76x = 11,216.68 × 3,092.84
  4. Step 4: Simplify right side
    7,477.76x = 34,691,396.57
  5. Step 5: Solve for x
    x = 34,691,396.57/7,477.76
  6. Step 6: Final answer
    x = 4,639.28

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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.