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Finding the Fourth Proportional to 8,450.92, 12,667.86 and 4,066

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Solution

The fourth proportional to 8,450.92, 12,667.86 and 4,066 is: 6,094.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,450.92 : 12,667.86 = 4,066 : x
  2. Step 2: Convert to fraction form
    8,450.92/12,667.86 = 4,066/x
  3. Step 3: Cross multiply
    8,450.92x = 12,667.86 × 4,066
  4. Step 4: Simplify right side
    8,450.92x = 51,507,518.76
  5. Step 5: Solve for x
    x = 51,507,518.76/8,450.92
  6. Step 6: Final answer
    x = 6,094.90

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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.