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Finding the Fourth Proportional to 8,473.29, 11,693.16 and 4,696.49

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Solution

The fourth proportional to 8,473.29, 11,693.16 and 4,696.49 is: 6,481.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.29 : 11,693.16 = 4,696.49 : x
  2. Step 2: Convert to fraction form
    8,473.29/11,693.16 = 4,696.49/x
  3. Step 3: Cross multiply
    8,473.29x = 11,693.16 × 4,696.49
  4. Step 4: Simplify right side
    8,473.29x = 54,916,750.54
  5. Step 5: Solve for x
    x = 54,916,750.54/8,473.29
  6. Step 6: Final answer
    x = 6,481.16

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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.