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Finding the Fourth Proportional to 8,096.80, 11,166.16 and 5,303.84

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Solution

The fourth proportional to 8,096.80, 11,166.16 and 5,303.84 is: 7,314.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,096.80 : 11,166.16 = 5,303.84 : x
  2. Step 2: Convert to fraction form
    8,096.80/11,166.16 = 5,303.84/x
  3. Step 3: Cross multiply
    8,096.80x = 11,166.16 × 5,303.84
  4. Step 4: Simplify right side
    8,096.80x = 59,223,526.05
  5. Step 5: Solve for x
    x = 59,223,526.05/8,096.80
  6. Step 6: Final answer
    x = 7,314.44

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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.