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Finding the Fourth Proportional to 11,799.25, 16,282.96 and 6,494.06

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Solution

The fourth proportional to 11,799.25, 16,282.96 and 6,494.06 is: 8,961.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,799.25 : 16,282.96 = 6,494.06 : x
  2. Step 2: Convert to fraction form
    11,799.25/16,282.96 = 6,494.06/x
  3. Step 3: Cross multiply
    11,799.25x = 16,282.96 × 6,494.06
  4. Step 4: Simplify right side
    11,799.25x = 105,742,543.69
  5. Step 5: Solve for x
    x = 105,742,543.69/11,799.25
  6. Step 6: Final answer
    x = 8,961.80

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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.