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Finding the Fourth Proportional to 11,614.29, 17,428.74 and 4,950.78

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Solution

The fourth proportional to 11,614.29, 17,428.74 and 4,950.78 is: 7,429.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.29 : 17,428.74 = 4,950.78 : x
  2. Step 2: Convert to fraction form
    11,614.29/17,428.74 = 4,950.78/x
  3. Step 3: Cross multiply
    11,614.29x = 17,428.74 × 4,950.78
  4. Step 4: Simplify right side
    11,614.29x = 86,285,857.42
  5. Step 5: Solve for x
    x = 86,285,857.42/11,614.29
  6. Step 6: Final answer
    x = 7,429.28

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.