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Finding the Fourth Proportional to 7,841.33, 11,753.04 and 3,158.34

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Solution

The fourth proportional to 7,841.33, 11,753.04 and 3,158.34 is: 4,733.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,841.33 : 11,753.04 = 3,158.34 : x
  2. Step 2: Convert to fraction form
    7,841.33/11,753.04 = 3,158.34/x
  3. Step 3: Cross multiply
    7,841.33x = 11,753.04 × 3,158.34
  4. Step 4: Simplify right side
    7,841.33x = 37,120,055.24
  5. Step 5: Solve for x
    x = 37,120,055.24/7,841.33
  6. Step 6: Final answer
    x = 4,733.90

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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.