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Finding the Fourth Proportional to 11,007.58, 16,513.80 and 5,161

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Solution

The fourth proportional to 11,007.58, 16,513.80 and 5,161 is: 7,742.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,007.58 : 16,513.80 = 5,161 : x
  2. Step 2: Convert to fraction form
    11,007.58/16,513.80 = 5,161/x
  3. Step 3: Cross multiply
    11,007.58x = 16,513.80 × 5,161
  4. Step 4: Simplify right side
    11,007.58x = 85,227,721.80
  5. Step 5: Solve for x
    x = 85,227,721.80/11,007.58
  6. Step 6: Final answer
    x = 7,742.64

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.