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Finding the Fourth Proportional to 10,234.50, 14,123.61 and 5,818.50

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Solution

The fourth proportional to 10,234.50, 14,123.61 and 5,818.50 is: 8,029.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.50 : 14,123.61 = 5,818.50 : x
  2. Step 2: Convert to fraction form
    10,234.50/14,123.61 = 5,818.50/x
  3. Step 3: Cross multiply
    10,234.50x = 14,123.61 × 5,818.50
  4. Step 4: Simplify right side
    10,234.50x = 82,178,224.79
  5. Step 5: Solve for x
    x = 82,178,224.79/10,234.50
  6. Step 6: Final answer
    x = 8,029.53

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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.