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Finding the Fourth Proportional to 7,107.36, 9,808.84 and 5,311.72

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Solution

The fourth proportional to 7,107.36, 9,808.84 and 5,311.72 is: 7,330.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,107.36 : 9,808.84 = 5,311.72 : x
  2. Step 2: Convert to fraction form
    7,107.36/9,808.84 = 5,311.72/x
  3. Step 3: Cross multiply
    7,107.36x = 9,808.84 × 5,311.72
  4. Step 4: Simplify right side
    7,107.36x = 52,101,811.60
  5. Step 5: Solve for x
    x = 52,101,811.60/7,107.36
  6. Step 6: Final answer
    x = 7,330.68

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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.