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Finding the Fourth Proportional to 10,213.53, 14,090.97 and 6,678.78

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Solution

The fourth proportional to 10,213.53, 14,090.97 and 6,678.78 is: 9,214.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,213.53 : 14,090.97 = 6,678.78 : x
  2. Step 2: Convert to fraction form
    10,213.53/14,090.97 = 6,678.78/x
  3. Step 3: Cross multiply
    10,213.53x = 14,090.97 × 6,678.78
  4. Step 4: Simplify right side
    10,213.53x = 94,110,488.62
  5. Step 5: Solve for x
    x = 94,110,488.62/10,213.53
  6. Step 6: Final answer
    x = 9,214.30

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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.