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Finding the Fourth Proportional to 12,115.80, 16,719.26 and 6,738.51

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Solution

The fourth proportional to 12,115.80, 16,719.26 and 6,738.51 is: 9,298.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.80 : 16,719.26 = 6,738.51 : x
  2. Step 2: Convert to fraction form
    12,115.80/16,719.26 = 6,738.51/x
  3. Step 3: Cross multiply
    12,115.80x = 16,719.26 × 6,738.51
  4. Step 4: Simplify right side
    12,115.80x = 112,662,867.01
  5. Step 5: Solve for x
    x = 112,662,867.01/12,115.80
  6. Step 6: Final answer
    x = 9,298.84

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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.