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Finding the Fourth Proportional to 7,993.78, 11,031.72 and 4,457.68

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Solution

The fourth proportional to 7,993.78, 11,031.72 and 4,457.68 is: 6,151.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.78 : 11,031.72 = 4,457.68 : x
  2. Step 2: Convert to fraction form
    7,993.78/11,031.72 = 4,457.68/x
  3. Step 3: Cross multiply
    7,993.78x = 11,031.72 × 4,457.68
  4. Step 4: Simplify right side
    7,993.78x = 49,175,850.03
  5. Step 5: Solve for x
    x = 49,175,850.03/7,993.78
  6. Step 6: Final answer
    x = 6,151.77

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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.