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Finding the Fourth Proportional to 11,091, 16,637.58 and 2,883

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Solution

The fourth proportional to 11,091, 16,637.58 and 2,883 is: 4,324.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,091 : 16,637.58 = 2,883 : x
  2. Step 2: Convert to fraction form
    11,091/16,637.58 = 2,883/x
  3. Step 3: Cross multiply
    11,091x = 16,637.58 × 2,883
  4. Step 4: Simplify right side
    11,091x = 47,966,143.14
  5. Step 5: Solve for x
    x = 47,966,143.14/11,091
  6. Step 6: Final answer
    x = 4,324.78

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Why These Related Problems?

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