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Finding the Fourth Proportional to 8,113.96, 11,202.82 and 6,128.68

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Solution

The fourth proportional to 8,113.96, 11,202.82 and 6,128.68 is: 8,461.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,113.96 : 11,202.82 = 6,128.68 : x
  2. Step 2: Convert to fraction form
    8,113.96/11,202.82 = 6,128.68/x
  3. Step 3: Cross multiply
    8,113.96x = 11,202.82 × 6,128.68
  4. Step 4: Simplify right side
    8,113.96x = 68,658,498.88
  5. Step 5: Solve for x
    x = 68,658,498.88/8,113.96
  6. Step 6: Final answer
    x = 8,461.77

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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.