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Finding the Fourth Proportional to 8,113.77, 11,197.09 and 4,756.67

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Solution

The fourth proportional to 8,113.77, 11,197.09 and 4,756.67 is: 6,564.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.77 : 11,197.09 = 4,756.67 : x
  2. Step 2: Convert to fraction form
    8,113.77/11,197.09 = 4,756.67/x
  3. Step 3: Cross multiply
    8,113.77x = 11,197.09 × 4,756.67
  4. Step 4: Simplify right side
    8,113.77x = 53,260,890.27
  5. Step 5: Solve for x
    x = 53,260,890.27/8,113.77
  6. Step 6: Final answer
    x = 6,564.26

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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.