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Finding the Fourth Proportional to 11,799.60, 16,283.44 and 6,494.60

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Solution

The fourth proportional to 11,799.60, 16,283.44 and 6,494.60 is: 8,962.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.60 : 16,283.44 = 6,494.60 : x
  2. Step 2: Convert to fraction form
    11,799.60/16,283.44 = 6,494.60/x
  3. Step 3: Cross multiply
    11,799.60x = 16,283.44 × 6,494.60
  4. Step 4: Simplify right side
    11,799.60x = 105,754,429.42
  5. Step 5: Solve for x
    x = 105,754,429.42/11,799.60
  6. Step 6: Final answer
    x = 8,962.54

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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.