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Finding the Fourth Proportional to 10,299.90, 14,213.28 and 6,050.31

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Solution

The fourth proportional to 10,299.90, 14,213.28 and 6,050.31 is: 8,349.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,299.90 : 14,213.28 = 6,050.31 : x
  2. Step 2: Convert to fraction form
    10,299.90/14,213.28 = 6,050.31/x
  3. Step 3: Cross multiply
    10,299.90x = 14,213.28 × 6,050.31
  4. Step 4: Simplify right side
    10,299.90x = 85,994,750.12
  5. Step 5: Solve for x
    x = 85,994,750.12/10,299.90
  6. Step 6: Final answer
    x = 8,349.09

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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.