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Finding the Fourth Proportional to 8,406.72, 11,601.23 and 4,869.86

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Solution

The fourth proportional to 8,406.72, 11,601.23 and 4,869.86 is: 6,720.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,406.72 : 11,601.23 = 4,869.86 : x
  2. Step 2: Convert to fraction form
    8,406.72/11,601.23 = 4,869.86/x
  3. Step 3: Cross multiply
    8,406.72x = 11,601.23 × 4,869.86
  4. Step 4: Simplify right side
    8,406.72x = 56,496,283.57
  5. Step 5: Solve for x
    x = 56,496,283.57/8,406.72
  6. Step 6: Final answer
    x = 6,720.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.