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Finding the Fourth Proportional to 8,305.68, 12,458.64 and 2,065.68

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Solution

The fourth proportional to 8,305.68, 12,458.64 and 2,065.68 is: 3,098.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,305.68 : 12,458.64 = 2,065.68 : x
  2. Step 2: Convert to fraction form
    8,305.68/12,458.64 = 2,065.68/x
  3. Step 3: Cross multiply
    8,305.68x = 12,458.64 × 2,065.68
  4. Step 4: Simplify right side
    8,305.68x = 25,735,563.48
  5. Step 5: Solve for x
    x = 25,735,563.48/8,305.68
  6. Step 6: Final answer
    x = 3,098.55

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.