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Finding the Fourth Proportional to 11,107.68, 16,661.16 and 2,899.68

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Solution

The fourth proportional to 11,107.68, 16,661.16 and 2,899.68 is: 4,349.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,107.68 : 16,661.16 = 2,899.68 : x
  2. Step 2: Convert to fraction form
    11,107.68/16,661.16 = 2,899.68/x
  3. Step 3: Cross multiply
    11,107.68x = 16,661.16 × 2,899.68
  4. Step 4: Simplify right side
    11,107.68x = 48,312,032.43
  5. Step 5: Solve for x
    x = 48,312,032.43/11,107.68
  6. Step 6: Final answer
    x = 4,349.43

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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.