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Finding the Fourth Proportional to 11,616.28, 16,022.68 and 7,788

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Solution

The fourth proportional to 11,616.28, 16,022.68 and 7,788 is: 10,742.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,616.28 : 16,022.68 = 7,788 : x
  2. Step 2: Convert to fraction form
    11,616.28/16,022.68 = 7,788/x
  3. Step 3: Cross multiply
    11,616.28x = 16,022.68 × 7,788
  4. Step 4: Simplify right side
    11,616.28x = 124,784,631.84
  5. Step 5: Solve for x
    x = 124,784,631.84/11,616.28
  6. Step 6: Final answer
    x = 10,742.22

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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.