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Finding the Fourth Proportional to 10,369.22, 14,308.91 and 5,892.35

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Solution

The fourth proportional to 10,369.22, 14,308.91 and 5,892.35 is: 8,131.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,369.22 : 14,308.91 = 5,892.35 : x
  2. Step 2: Convert to fraction form
    10,369.22/14,308.91 = 5,892.35/x
  3. Step 3: Cross multiply
    10,369.22x = 14,308.91 × 5,892.35
  4. Step 4: Simplify right side
    10,369.22x = 84,313,105.84
  5. Step 5: Solve for x
    x = 84,313,105.84/10,369.22
  6. Step 6: Final answer
    x = 8,131.09

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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.