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Finding the Fourth Proportional to 11,143.84, 16,685.52 and 7,238.56

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Solution

The fourth proportional to 11,143.84, 16,685.52 and 7,238.56 is: 10,838.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,143.84 : 16,685.52 = 7,238.56 : x
  2. Step 2: Convert to fraction form
    11,143.84/16,685.52 = 7,238.56/x
  3. Step 3: Cross multiply
    11,143.84x = 16,685.52 × 7,238.56
  4. Step 4: Simplify right side
    11,143.84x = 120,779,137.65
  5. Step 5: Solve for x
    x = 120,779,137.65/11,143.84
  6. Step 6: Final answer
    x = 10,838.20

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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.