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Finding the Fourth Proportional to 11,770.09, 16,242.82 and 6,465.02

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Solution

The fourth proportional to 11,770.09, 16,242.82 and 6,465.02 is: 8,921.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.09 : 16,242.82 = 6,465.02 : x
  2. Step 2: Convert to fraction form
    11,770.09/16,242.82 = 6,465.02/x
  3. Step 3: Cross multiply
    11,770.09x = 16,242.82 × 6,465.02
  4. Step 4: Simplify right side
    11,770.09x = 105,010,180.60
  5. Step 5: Solve for x
    x = 105,010,180.60/11,770.09
  6. Step 6: Final answer
    x = 8,921.78

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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.