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Finding the Fourth Proportional to 12,486.64, 18,729.89 and 5,091.07

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Solution

The fourth proportional to 12,486.64, 18,729.89 and 5,091.07 is: 7,636.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,486.64 : 18,729.89 = 5,091.07 : x
  2. Step 2: Convert to fraction form
    12,486.64/18,729.89 = 5,091.07/x
  3. Step 3: Cross multiply
    12,486.64x = 18,729.89 × 5,091.07
  4. Step 4: Simplify right side
    12,486.64x = 95,355,193.81
  5. Step 5: Solve for x
    x = 95,355,193.81/12,486.64
  6. Step 6: Final answer
    x = 7,636.58

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.