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Finding the Fourth Proportional to 10,376.50, 14,319.94 and 5,900.44

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Solution

The fourth proportional to 10,376.50, 14,319.94 and 5,900.44 is: 8,142.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,376.50 : 14,319.94 = 5,900.44 : x
  2. Step 2: Convert to fraction form
    10,376.50/14,319.94 = 5,900.44/x
  3. Step 3: Cross multiply
    10,376.50x = 14,319.94 × 5,900.44
  4. Step 4: Simplify right side
    10,376.50x = 84,493,946.77
  5. Step 5: Solve for x
    x = 84,493,946.77/10,376.50
  6. Step 6: Final answer
    x = 8,142.82

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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.