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Finding the Fourth Proportional to 11,893.62, 16,412.59 and 6,588.06

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Solution

The fourth proportional to 11,893.62, 16,412.59 and 6,588.06 is: 9,091.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,893.62 : 16,412.59 = 6,588.06 : x
  2. Step 2: Convert to fraction form
    11,893.62/16,412.59 = 6,588.06/x
  3. Step 3: Cross multiply
    11,893.62x = 16,412.59 × 6,588.06
  4. Step 4: Simplify right side
    11,893.62x = 108,127,127.68
  5. Step 5: Solve for x
    x = 108,127,127.68/11,893.62
  6. Step 6: Final answer
    x = 9,091.19

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