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Finding the Fourth Proportional to 10,442.43, 14,410.49 and 5,662.40

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Solution

The fourth proportional to 10,442.43, 14,410.49 and 5,662.40 is: 7,814.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,442.43 : 14,410.49 = 5,662.40 : x
  2. Step 2: Convert to fraction form
    10,442.43/14,410.49 = 5,662.40/x
  3. Step 3: Cross multiply
    10,442.43x = 14,410.49 × 5,662.40
  4. Step 4: Simplify right side
    10,442.43x = 81,597,858.21
  5. Step 5: Solve for x
    x = 81,597,858.21/10,442.43
  6. Step 6: Final answer
    x = 7,814.07

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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.