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Finding the Fourth Proportional to 11,887.21, 16,403.19 and 7,106.20

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Solution

The fourth proportional to 11,887.21, 16,403.19 and 7,106.20 is: 9,805.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.21 : 16,403.19 = 7,106.20 : x
  2. Step 2: Convert to fraction form
    11,887.21/16,403.19 = 7,106.20/x
  3. Step 3: Cross multiply
    11,887.21x = 16,403.19 × 7,106.20
  4. Step 4: Simplify right side
    11,887.21x = 116,564,321.09
  5. Step 5: Solve for x
    x = 116,564,321.09/11,887.21
  6. Step 6: Final answer
    x = 9,805.86

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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.