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Finding the Fourth Proportional to 8,473.65, 11,693.63 and 4,696.82

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Solution

The fourth proportional to 8,473.65, 11,693.63 and 4,696.82 is: 6,481.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,473.65 : 11,693.63 = 4,696.82 : x
  2. Step 2: Convert to fraction form
    8,473.65/11,693.63 = 4,696.82/x
  3. Step 3: Cross multiply
    8,473.65x = 11,693.63 × 4,696.82
  4. Step 4: Simplify right side
    8,473.65x = 54,922,875.26
  5. Step 5: Solve for x
    x = 54,922,875.26/8,473.65
  6. Step 6: Final answer
    x = 6,481.61

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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.