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Finding the Fourth Proportional to 8,463.40, 12,693.66 and 2,305.96

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Solution

The fourth proportional to 8,463.40, 12,693.66 and 2,305.96 is: 3,458.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.40 : 12,693.66 = 2,305.96 : x
  2. Step 2: Convert to fraction form
    8,463.40/12,693.66 = 2,305.96/x
  3. Step 3: Cross multiply
    8,463.40x = 12,693.66 × 2,305.96
  4. Step 4: Simplify right side
    8,463.40x = 29,271,072.21
  5. Step 5: Solve for x
    x = 29,271,072.21/8,463.40
  6. Step 6: Final answer
    x = 3,458.55

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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.