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Finding the Fourth Proportional to 11,674.72, 17,510.24 and 5,099.14

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Solution

The fourth proportional to 11,674.72, 17,510.24 and 5,099.14 is: 7,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674.72 : 17,510.24 = 5,099.14 : x
  2. Step 2: Convert to fraction form
    11,674.72/17,510.24 = 5,099.14/x
  3. Step 3: Cross multiply
    11,674.72x = 17,510.24 × 5,099.14
  4. Step 4: Simplify right side
    11,674.72x = 89,287,199.83
  5. Step 5: Solve for x
    x = 89,287,199.83/11,674.72
  6. Step 6: Final answer
    x = 7,647.91

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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.