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Finding the Fourth Proportional to 11,411.20, 15,741.84 and 7,635.21

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Solution

The fourth proportional to 11,411.20, 15,741.84 and 7,635.21 is: 10,532.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,411.20 : 15,741.84 = 7,635.21 : x
  2. Step 2: Convert to fraction form
    11,411.20/15,741.84 = 7,635.21/x
  3. Step 3: Cross multiply
    11,411.20x = 15,741.84 × 7,635.21
  4. Step 4: Simplify right side
    11,411.20x = 120,192,312.33
  5. Step 5: Solve for x
    x = 120,192,312.33/11,411.20
  6. Step 6: Final answer
    x = 10,532.83

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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.