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Finding the Fourth Proportional to 11,914.68, 16,447.56 and 7,437.60

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Solution

The fourth proportional to 11,914.68, 16,447.56 and 7,437.60 is: 10,267.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,914.68 : 16,447.56 = 7,437.60 : x
  2. Step 2: Convert to fraction form
    11,914.68/16,447.56 = 7,437.60/x
  3. Step 3: Cross multiply
    11,914.68x = 16,447.56 × 7,437.60
  4. Step 4: Simplify right side
    11,914.68x = 122,330,372.26
  5. Step 5: Solve for x
    x = 122,330,372.26/11,914.68
  6. Step 6: Final answer
    x = 10,267.20

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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.