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Finding the Fourth Proportional to 8,463.96, 12,698.98 and 3,783.58

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Solution

The fourth proportional to 8,463.96, 12,698.98 and 3,783.58 is: 5,676.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,463.96 : 12,698.98 = 3,783.58 : x
  2. Step 2: Convert to fraction form
    8,463.96/12,698.98 = 3,783.58/x
  3. Step 3: Cross multiply
    8,463.96x = 12,698.98 × 3,783.58
  4. Step 4: Simplify right side
    8,463.96x = 48,047,606.75
  5. Step 5: Solve for x
    x = 48,047,606.75/8,463.96
  6. Step 6: Final answer
    x = 5,676.73

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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.