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Finding the Fourth Proportional to 10,375.89, 14,314.01 and 6,124.06

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Solution

The fourth proportional to 10,375.89, 14,314.01 and 6,124.06 is: 8,448.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.89 : 14,314.01 = 6,124.06 : x
  2. Step 2: Convert to fraction form
    10,375.89/14,314.01 = 6,124.06/x
  3. Step 3: Cross multiply
    10,375.89x = 14,314.01 × 6,124.06
  4. Step 4: Simplify right side
    10,375.89x = 87,659,856.08
  5. Step 5: Solve for x
    x = 87,659,856.08/10,375.89
  6. Step 6: Final answer
    x = 8,448.42

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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.