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Finding the Fourth Proportional to 7,436.34, 10,272.83 and 5,942.30

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Solution

The fourth proportional to 7,436.34, 10,272.83 and 5,942.30 is: 8,208.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,436.34 : 10,272.83 = 5,942.30 : x
  2. Step 2: Convert to fraction form
    7,436.34/10,272.83 = 5,942.30/x
  3. Step 3: Cross multiply
    7,436.34x = 10,272.83 × 5,942.30
  4. Step 4: Simplify right side
    7,436.34x = 61,044,156.63
  5. Step 5: Solve for x
    x = 61,044,156.63/7,436.34
  6. Step 6: Final answer
    x = 8,208.90

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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.