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Finding the Fourth Proportional to 8,307.09, 11,463.62 and 4,581.09

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Solution

The fourth proportional to 8,307.09, 11,463.62 and 4,581.09 is: 6,321.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,307.09 : 11,463.62 = 4,581.09 : x
  2. Step 2: Convert to fraction form
    8,307.09/11,463.62 = 4,581.09/x
  3. Step 3: Cross multiply
    8,307.09x = 11,463.62 × 4,581.09
  4. Step 4: Simplify right side
    8,307.09x = 52,515,852.04
  5. Step 5: Solve for x
    x = 52,515,852.04/8,307.09
  6. Step 6: Final answer
    x = 6,321.81

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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.