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Finding the Fourth Proportional to 11,799.47, 16,283.73 and 6,494.78

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Solution

The fourth proportional to 11,799.47, 16,283.73 and 6,494.78 is: 8,963.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.47 : 16,283.73 = 6,494.78 : x
  2. Step 2: Convert to fraction form
    11,799.47/16,283.73 = 6,494.78/x
  3. Step 3: Cross multiply
    11,799.47x = 16,283.73 × 6,494.78
  4. Step 4: Simplify right side
    11,799.47x = 105,759,308.99
  5. Step 5: Solve for x
    x = 105,759,308.99/11,799.47
  6. Step 6: Final answer
    x = 8,963.05

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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.