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Finding the Fourth Proportional to 11,893.68, 16,412.58 and 6,515.05

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Solution

The fourth proportional to 11,893.68, 16,412.58 and 6,515.05 is: 8,990.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.68 : 16,412.58 = 6,515.05 : x
  2. Step 2: Convert to fraction form
    11,893.68/16,412.58 = 6,515.05/x
  3. Step 3: Cross multiply
    11,893.68x = 16,412.58 × 6,515.05
  4. Step 4: Simplify right side
    11,893.68x = 106,928,779.33
  5. Step 5: Solve for x
    x = 106,928,779.33/11,893.68
  6. Step 6: Final answer
    x = 8,990.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.