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Finding the Fourth Proportional to 10,640.62, 14,684.04 and 5,926.01

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Solution

The fourth proportional to 10,640.62, 14,684.04 and 5,926.01 is: 8,177.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,640.62 : 14,684.04 = 5,926.01 : x
  2. Step 2: Convert to fraction form
    10,640.62/14,684.04 = 5,926.01/x
  3. Step 3: Cross multiply
    10,640.62x = 14,684.04 × 5,926.01
  4. Step 4: Simplify right side
    10,640.62x = 87,017,767.88
  5. Step 5: Solve for x
    x = 87,017,767.88/10,640.62
  6. Step 6: Final answer
    x = 8,177.89

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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.