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Finding the Fourth Proportional to 11,799.83, 16,283.88 and 6,494.76

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Solution

The fourth proportional to 11,799.83, 16,283.88 and 6,494.76 is: 8,962.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.83 : 16,283.88 = 6,494.76 : x
  2. Step 2: Convert to fraction form
    11,799.83/16,283.88 = 6,494.76/x
  3. Step 3: Cross multiply
    11,799.83x = 16,283.88 × 6,494.76
  4. Step 4: Simplify right side
    11,799.83x = 105,759,892.47
  5. Step 5: Solve for x
    x = 105,759,892.47/11,799.83
  6. Step 6: Final answer
    x = 8,962.83

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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.