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Finding the Fourth Proportional to 10,234.54, 14,123.05 and 5,697.06

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Solution

The fourth proportional to 10,234.54, 14,123.05 and 5,697.06 is: 7,861.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,234.54 : 14,123.05 = 5,697.06 : x
  2. Step 2: Convert to fraction form
    10,234.54/14,123.05 = 5,697.06/x
  3. Step 3: Cross multiply
    10,234.54x = 14,123.05 × 5,697.06
  4. Step 4: Simplify right side
    10,234.54x = 80,459,863.23
  5. Step 5: Solve for x
    x = 80,459,863.23/10,234.54
  6. Step 6: Final answer
    x = 7,861.60

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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.