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Finding the Fourth Proportional to 8,476.23, 11,696.92 and 4,699.56

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Solution

The fourth proportional to 8,476.23, 11,696.92 and 4,699.56 is: 6,485.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,476.23 : 11,696.92 = 4,699.56 : x
  2. Step 2: Convert to fraction form
    8,476.23/11,696.92 = 4,699.56/x
  3. Step 3: Cross multiply
    8,476.23x = 11,696.92 × 4,699.56
  4. Step 4: Simplify right side
    8,476.23x = 54,970,365.61
  5. Step 5: Solve for x
    x = 54,970,365.61/8,476.23
  6. Step 6: Final answer
    x = 6,485.24

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