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Finding the Fourth Proportional to 8,125.90, 11,213.16 and 4,768.85

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Solution

The fourth proportional to 8,125.90, 11,213.16 and 4,768.85 is: 6,580.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,125.90 : 11,213.16 = 4,768.85 : x
  2. Step 2: Convert to fraction form
    8,125.90/11,213.16 = 4,768.85/x
  3. Step 3: Cross multiply
    8,125.90x = 11,213.16 × 4,768.85
  4. Step 4: Simplify right side
    8,125.90x = 53,473,878.07
  5. Step 5: Solve for x
    x = 53,473,878.07/8,125.90
  6. Step 6: Final answer
    x = 6,580.67

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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.