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Finding the Fourth Proportional to 7,808.40, 11,712.60 and 4,527.90

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Solution

The fourth proportional to 7,808.40, 11,712.60 and 4,527.90 is: 6,791.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,808.40 : 11,712.60 = 4,527.90 : x
  2. Step 2: Convert to fraction form
    7,808.40/11,712.60 = 4,527.90/x
  3. Step 3: Cross multiply
    7,808.40x = 11,712.60 × 4,527.90
  4. Step 4: Simplify right side
    7,808.40x = 53,033,481.54
  5. Step 5: Solve for x
    x = 53,033,481.54/7,808.40
  6. Step 6: Final answer
    x = 6,791.85

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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.