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Finding the Fourth Proportional to 11,586, 17,362.68 and 5,007.12

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Solution

The fourth proportional to 11,586, 17,362.68 and 5,007.12 is: 7,503.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586 : 17,362.68 = 5,007.12 : x
  2. Step 2: Convert to fraction form
    11,586/17,362.68 = 5,007.12/x
  3. Step 3: Cross multiply
    11,586x = 17,362.68 × 5,007.12
  4. Step 4: Simplify right side
    11,586x = 86,937,022.28
  5. Step 5: Solve for x
    x = 86,937,022.28/11,586
  6. Step 6: Final answer
    x = 7,503.63

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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.