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Finding the Fourth Proportional to 8,434.45, 12,658.01 and 3,174.64

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Solution

The fourth proportional to 8,434.45, 12,658.01 and 3,174.64 is: 4,764.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,434.45 : 12,658.01 = 3,174.64 : x
  2. Step 2: Convert to fraction form
    8,434.45/12,658.01 = 3,174.64/x
  3. Step 3: Cross multiply
    8,434.45x = 12,658.01 × 3,174.64
  4. Step 4: Simplify right side
    8,434.45x = 40,184,624.87
  5. Step 5: Solve for x
    x = 40,184,624.87/8,434.45
  6. Step 6: Final answer
    x = 4,764.34

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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.