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Finding the Fourth Proportional to 7,970.66, 11,000.38 and 4,613.44

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Solution

The fourth proportional to 7,970.66, 11,000.38 and 4,613.44 is: 6,367.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,970.66 : 11,000.38 = 4,613.44 : x
  2. Step 2: Convert to fraction form
    7,970.66/11,000.38 = 4,613.44/x
  3. Step 3: Cross multiply
    7,970.66x = 11,000.38 × 4,613.44
  4. Step 4: Simplify right side
    7,970.66x = 50,749,593.11
  5. Step 5: Solve for x
    x = 50,749,593.11/7,970.66
  6. Step 6: Final answer
    x = 6,367.05

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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.