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Finding the Fourth Proportional to 11,751.37, 16,207.72 and 7,277.60

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Solution

The fourth proportional to 11,751.37, 16,207.72 and 7,277.60 is: 10,037.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,751.37 : 16,207.72 = 7,277.60 : x
  2. Step 2: Convert to fraction form
    11,751.37/16,207.72 = 7,277.60/x
  3. Step 3: Cross multiply
    11,751.37x = 16,207.72 × 7,277.60
  4. Step 4: Simplify right side
    11,751.37x = 117,953,325.40
  5. Step 5: Solve for x
    x = 117,953,325.40/11,751.37
  6. Step 6: Final answer
    x = 10,037.41

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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.