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Finding the Fourth Proportional to 10,468.85, 14,446.49 and 5,753.30

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Solution

The fourth proportional to 10,468.85, 14,446.49 and 5,753.30 is: 7,939.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,468.85 : 14,446.49 = 5,753.30 : x
  2. Step 2: Convert to fraction form
    10,468.85/14,446.49 = 5,753.30/x
  3. Step 3: Cross multiply
    10,468.85x = 14,446.49 × 5,753.30
  4. Step 4: Simplify right side
    10,468.85x = 83,114,889.92
  5. Step 5: Solve for x
    x = 83,114,889.92/10,468.85
  6. Step 6: Final answer
    x = 7,939.26

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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.