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Finding the Fourth Proportional to 12,115.56, 16,719.68 and 7,923.81

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Solution

The fourth proportional to 12,115.56, 16,719.68 and 7,923.81 is: 10,934.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.56 : 16,719.68 = 7,923.81 : x
  2. Step 2: Convert to fraction form
    12,115.56/16,719.68 = 7,923.81/x
  3. Step 3: Cross multiply
    12,115.56x = 16,719.68 × 7,923.81
  4. Step 4: Simplify right side
    12,115.56x = 132,483,567.58
  5. Step 5: Solve for x
    x = 132,483,567.58/12,115.56
  6. Step 6: Final answer
    x = 10,934.99

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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.