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Finding the Fourth Proportional to 11,817.43, 16,302.93 and 7,034.69

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Solution

The fourth proportional to 11,817.43, 16,302.93 and 7,034.69 is: 9,704.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,817.43 : 16,302.93 = 7,034.69 : x
  2. Step 2: Convert to fraction form
    11,817.43/16,302.93 = 7,034.69/x
  3. Step 3: Cross multiply
    11,817.43x = 16,302.93 × 7,034.69
  4. Step 4: Simplify right side
    11,817.43x = 114,686,099.40
  5. Step 5: Solve for x
    x = 114,686,099.40/11,817.43
  6. Step 6: Final answer
    x = 9,704.82

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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.