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Finding the Fourth Proportional to 11,026.12, 16,541 and 5,108.92

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Solution

The fourth proportional to 11,026.12, 16,541 and 5,108.92 is: 7,664.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,026.12 : 16,541 = 5,108.92 : x
  2. Step 2: Convert to fraction form
    11,026.12/16,541 = 5,108.92/x
  3. Step 3: Cross multiply
    11,026.12x = 16,541 × 5,108.92
  4. Step 4: Simplify right side
    11,026.12x = 84,506,645.72
  5. Step 5: Solve for x
    x = 84,506,645.72/11,026.12
  6. Step 6: Final answer
    x = 7,664.22

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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.