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Finding the Fourth Proportional to 10,428.30, 14,392.09 and 5,952.73

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Solution

The fourth proportional to 10,428.30, 14,392.09 and 5,952.73 is: 8,215.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,428.30 : 14,392.09 = 5,952.73 : x
  2. Step 2: Convert to fraction form
    10,428.30/14,392.09 = 5,952.73/x
  3. Step 3: Cross multiply
    10,428.30x = 14,392.09 × 5,952.73
  4. Step 4: Simplify right side
    10,428.30x = 85,672,227.66
  5. Step 5: Solve for x
    x = 85,672,227.66/10,428.30
  6. Step 6: Final answer
    x = 8,215.36

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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.