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Finding the Fourth Proportional to 8,461.38, 12,682.26 and 4,557.59

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Solution

The fourth proportional to 8,461.38, 12,682.26 and 4,557.59 is: 6,831.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.38 : 12,682.26 = 4,557.59 : x
  2. Step 2: Convert to fraction form
    8,461.38/12,682.26 = 4,557.59/x
  3. Step 3: Cross multiply
    8,461.38x = 12,682.26 × 4,557.59
  4. Step 4: Simplify right side
    8,461.38x = 57,800,477.94
  5. Step 5: Solve for x
    x = 57,800,477.94/8,461.38
  6. Step 6: Final answer
    x = 6,831.09

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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.