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Finding the Fourth Proportional to 11,773.01, 16,223.31 and 8,406.35

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Solution

The fourth proportional to 11,773.01, 16,223.31 and 8,406.35 is: 11,584.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,773.01 : 16,223.31 = 8,406.35 : x
  2. Step 2: Convert to fraction form
    11,773.01/16,223.31 = 8,406.35/x
  3. Step 3: Cross multiply
    11,773.01x = 16,223.31 × 8,406.35
  4. Step 4: Simplify right side
    11,773.01x = 136,378,822.02
  5. Step 5: Solve for x
    x = 136,378,822.02/11,773.01
  6. Step 6: Final answer
    x = 11,584.02

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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.