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Finding the Fourth Proportional to 10,609.88, 14,640.54 and 5,893.64

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Solution

The fourth proportional to 10,609.88, 14,640.54 and 5,893.64 is: 8,132.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,609.88 : 14,640.54 = 5,893.64 : x
  2. Step 2: Convert to fraction form
    10,609.88/14,640.54 = 5,893.64/x
  3. Step 3: Cross multiply
    10,609.88x = 14,640.54 × 5,893.64
  4. Step 4: Simplify right side
    10,609.88x = 86,286,072.17
  5. Step 5: Solve for x
    x = 86,286,072.17/10,609.88
  6. Step 6: Final answer
    x = 8,132.62

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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.