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Finding the Fourth Proportional to 12,130.44, 18,195.78 and 5,111.64

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Solution

The fourth proportional to 12,130.44, 18,195.78 and 5,111.64 is: 7,667.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,130.44 : 18,195.78 = 5,111.64 : x
  2. Step 2: Convert to fraction form
    12,130.44/18,195.78 = 5,111.64/x
  3. Step 3: Cross multiply
    12,130.44x = 18,195.78 × 5,111.64
  4. Step 4: Simplify right side
    12,130.44x = 93,010,276.88
  5. Step 5: Solve for x
    x = 93,010,276.88/12,130.44
  6. Step 6: Final answer
    x = 7,667.51

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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.