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Finding the Fourth Proportional to 10,375.46, 14,318.13 and 5,899.09

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Solution

The fourth proportional to 10,375.46, 14,318.13 and 5,899.09 is: 8,140.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,375.46 : 14,318.13 = 5,899.09 : x
  2. Step 2: Convert to fraction form
    10,375.46/14,318.13 = 5,899.09/x
  3. Step 3: Cross multiply
    10,375.46x = 14,318.13 × 5,899.09
  4. Step 4: Simplify right side
    10,375.46x = 84,463,937.50
  5. Step 5: Solve for x
    x = 84,463,937.50/10,375.46
  6. Step 6: Final answer
    x = 8,140.74

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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.