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Finding the Fourth Proportional to 7,416.52, 10,234.50 and 4,273

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Solution

The fourth proportional to 7,416.52, 10,234.50 and 4,273 is: 5,896.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,416.52 : 10,234.50 = 4,273 : x
  2. Step 2: Convert to fraction form
    7,416.52/10,234.50 = 4,273/x
  3. Step 3: Cross multiply
    7,416.52x = 10,234.50 × 4,273
  4. Step 4: Simplify right side
    7,416.52x = 43,732,018.50
  5. Step 5: Solve for x
    x = 43,732,018.50/7,416.52
  6. Step 6: Final answer
    x = 5,896.57

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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.