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Finding the Fourth Proportional to 7,993.72, 11,031.38 and 4,457.15

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Solution

The fourth proportional to 7,993.72, 11,031.38 and 4,457.15 is: 6,150.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,993.72 : 11,031.38 = 4,457.15 : x
  2. Step 2: Convert to fraction form
    7,993.72/11,031.38 = 4,457.15/x
  3. Step 3: Cross multiply
    7,993.72x = 11,031.38 × 4,457.15
  4. Step 4: Simplify right side
    7,993.72x = 49,168,493.08
  5. Step 5: Solve for x
    x = 49,168,493.08/7,993.72
  6. Step 6: Final answer
    x = 6,150.89

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.