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Finding the Fourth Proportional to 12,115.51, 16,719.61 and 6,738.39

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Solution

The fourth proportional to 12,115.51, 16,719.61 and 6,738.39 is: 9,299.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,115.51 : 16,719.61 = 6,738.39 : x
  2. Step 2: Convert to fraction form
    12,115.51/16,719.61 = 6,738.39/x
  3. Step 3: Cross multiply
    12,115.51x = 16,719.61 × 6,738.39
  4. Step 4: Simplify right side
    12,115.51x = 112,663,252.83
  5. Step 5: Solve for x
    x = 112,663,252.83/12,115.51
  6. Step 6: Final answer
    x = 9,299.09

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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.