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Finding the Fourth Proportional to 8,457.73, 12,686.68 and 3,777.98

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Solution

The fourth proportional to 8,457.73, 12,686.68 and 3,777.98 is: 5,667.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,457.73 : 12,686.68 = 3,777.98 : x
  2. Step 2: Convert to fraction form
    8,457.73/12,686.68 = 3,777.98/x
  3. Step 3: Cross multiply
    8,457.73x = 12,686.68 × 3,777.98
  4. Step 4: Simplify right side
    8,457.73x = 47,930,023.31
  5. Step 5: Solve for x
    x = 47,930,023.31/8,457.73
  6. Step 6: Final answer
    x = 5,667.01

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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.