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Finding the Fourth Proportional to 11,887.57, 16,405.41 and 7,171.75

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Solution

The fourth proportional to 11,887.57, 16,405.41 and 7,171.75 is: 9,897.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,887.57 : 16,405.41 = 7,171.75 : x
  2. Step 2: Convert to fraction form
    11,887.57/16,405.41 = 7,171.75/x
  3. Step 3: Cross multiply
    11,887.57x = 16,405.41 × 7,171.75
  4. Step 4: Simplify right side
    11,887.57x = 117,655,499.17
  5. Step 5: Solve for x
    x = 117,655,499.17/11,887.57
  6. Step 6: Final answer
    x = 9,897.35

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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.