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Finding the Fourth Proportional to 10,544.29, 14,553 and 8,022.56

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Solution

The fourth proportional to 10,544.29, 14,553 and 8,022.56 is: 11,072.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,544.29 : 14,553 = 8,022.56 : x
  2. Step 2: Convert to fraction form
    10,544.29/14,553 = 8,022.56/x
  3. Step 3: Cross multiply
    10,544.29x = 14,553 × 8,022.56
  4. Step 4: Simplify right side
    10,544.29x = 116,752,242.92
  5. Step 5: Solve for x
    x = 116,752,242.92/10,544.29
  6. Step 6: Final answer
    x = 11,072.56

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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.