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Finding the Fourth Proportional to 8,120.83, 11,205.80 and 4,583.83

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Solution

The fourth proportional to 8,120.83, 11,205.80 and 4,583.83 is: 6,325.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,120.83 : 11,205.80 = 4,583.83 : x
  2. Step 2: Convert to fraction form
    8,120.83/11,205.80 = 4,583.83/x
  3. Step 3: Cross multiply
    8,120.83x = 11,205.80 × 4,583.83
  4. Step 4: Simplify right side
    8,120.83x = 51,365,459.29
  5. Step 5: Solve for x
    x = 51,365,459.29/8,120.83
  6. Step 6: Final answer
    x = 6,325.15

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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.