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Finding the Fourth Proportional to 10,033.65, 13,845.20 and 5,556.78

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Solution

The fourth proportional to 10,033.65, 13,845.20 and 5,556.78 is: 7,667.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,033.65 : 13,845.20 = 5,556.78 : x
  2. Step 2: Convert to fraction form
    10,033.65/13,845.20 = 5,556.78/x
  3. Step 3: Cross multiply
    10,033.65x = 13,845.20 × 5,556.78
  4. Step 4: Simplify right side
    10,033.65x = 76,934,702.67
  5. Step 5: Solve for x
    x = 76,934,702.67/10,033.65
  6. Step 6: Final answer
    x = 7,667.67

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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.