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Finding the Fourth Proportional to 11,752.94, 16,219.78 and 7,767.14

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Solution

The fourth proportional to 11,752.94, 16,219.78 and 7,767.14 is: 10,719.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.94 : 16,219.78 = 7,767.14 : x
  2. Step 2: Convert to fraction form
    11,752.94/16,219.78 = 7,767.14/x
  3. Step 3: Cross multiply
    11,752.94x = 16,219.78 × 7,767.14
  4. Step 4: Simplify right side
    11,752.94x = 125,981,201.51
  5. Step 5: Solve for x
    x = 125,981,201.51/11,752.94
  6. Step 6: Final answer
    x = 10,719.12

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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.