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Finding the Fourth Proportional to 7,381.41, 11,046.20 and 5,428.77

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Solution

The fourth proportional to 7,381.41, 11,046.20 and 5,428.77 is: 8,124.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,381.41 : 11,046.20 = 5,428.77 : x
  2. Step 2: Convert to fraction form
    7,381.41/11,046.20 = 5,428.77/x
  3. Step 3: Cross multiply
    7,381.41x = 11,046.20 × 5,428.77
  4. Step 4: Simplify right side
    7,381.41x = 59,967,252.03
  5. Step 5: Solve for x
    x = 59,967,252.03/7,381.41
  6. Step 6: Final answer
    x = 8,124.09

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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.