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Finding the Fourth Proportional to 11,893.15, 16,412.53 and 6,587.98

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Solution

The fourth proportional to 11,893.15, 16,412.53 and 6,587.98 is: 9,091.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.15 : 16,412.53 = 6,587.98 : x
  2. Step 2: Convert to fraction form
    11,893.15/16,412.53 = 6,587.98/x
  3. Step 3: Cross multiply
    11,893.15x = 16,412.53 × 6,587.98
  4. Step 4: Simplify right side
    11,893.15x = 108,125,419.39
  5. Step 5: Solve for x
    x = 108,125,419.39/11,893.15
  6. Step 6: Final answer
    x = 9,091.40

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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.