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Finding the Fourth Proportional to 11,754.74, 17,626.90 and 5,509.71

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Solution

The fourth proportional to 11,754.74, 17,626.90 and 5,509.71 is: 8,262.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,754.74 : 17,626.90 = 5,509.71 : x
  2. Step 2: Convert to fraction form
    11,754.74/17,626.90 = 5,509.71/x
  3. Step 3: Cross multiply
    11,754.74x = 17,626.90 × 5,509.71
  4. Step 4: Simplify right side
    11,754.74x = 97,119,019.06
  5. Step 5: Solve for x
    x = 97,119,019.06/11,754.74
  6. Step 6: Final answer
    x = 8,262.12

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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.