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Finding the Fourth Proportional to 11,864.49, 17,829.06 and 6,321.79

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Solution

The fourth proportional to 11,864.49, 17,829.06 and 6,321.79 is: 9,499.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.49 : 17,829.06 = 6,321.79 : x
  2. Step 2: Convert to fraction form
    11,864.49/17,829.06 = 6,321.79/x
  3. Step 3: Cross multiply
    11,864.49x = 17,829.06 × 6,321.79
  4. Step 4: Simplify right side
    11,864.49x = 112,711,573.22
  5. Step 5: Solve for x
    x = 112,711,573.22/11,864.49
  6. Step 6: Final answer
    x = 9,499.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.