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Finding the Fourth Proportional to 11,588.09, 17,384.54 and 4,662.59

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Solution

The fourth proportional to 11,588.09, 17,384.54 and 4,662.59 is: 6,994.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,588.09 : 17,384.54 = 4,662.59 : x
  2. Step 2: Convert to fraction form
    11,588.09/17,384.54 = 4,662.59/x
  3. Step 3: Cross multiply
    11,588.09x = 17,384.54 × 4,662.59
  4. Step 4: Simplify right side
    11,588.09x = 81,056,872.12
  5. Step 5: Solve for x
    x = 81,056,872.12/11,588.09
  6. Step 6: Final answer
    x = 6,994.85

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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.