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Finding the Fourth Proportional to 7,758.15, 11,627.97 and 5,405.41

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Solution

The fourth proportional to 7,758.15, 11,627.97 and 5,405.41 is: 8,101.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,758.15 : 11,627.97 = 5,405.41 : x
  2. Step 2: Convert to fraction form
    7,758.15/11,627.97 = 5,405.41/x
  3. Step 3: Cross multiply
    7,758.15x = 11,627.97 × 5,405.41
  4. Step 4: Simplify right side
    7,758.15x = 62,853,945.32
  5. Step 5: Solve for x
    x = 62,853,945.32/7,758.15
  6. Step 6: Final answer
    x = 8,101.67

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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.