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Finding the Fourth Proportional to 8,454.39, 11,666.97 and 4,728.39

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Solution

The fourth proportional to 8,454.39, 11,666.97 and 4,728.39 is: 6,525.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,454.39 : 11,666.97 = 4,728.39 : x
  2. Step 2: Convert to fraction form
    8,454.39/11,666.97 = 4,728.39/x
  3. Step 3: Cross multiply
    8,454.39x = 11,666.97 × 4,728.39
  4. Step 4: Simplify right side
    8,454.39x = 55,165,984.28
  5. Step 5: Solve for x
    x = 55,165,984.28/8,454.39
  6. Step 6: Final answer
    x = 6,525.13

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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.