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Finding the Fourth Proportional to 11,770.58, 16,243.44 and 6,465.26

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Solution

The fourth proportional to 11,770.58, 16,243.44 and 6,465.26 is: 8,922.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,770.58 : 16,243.44 = 6,465.26 : x
  2. Step 2: Convert to fraction form
    11,770.58/16,243.44 = 6,465.26/x
  3. Step 3: Cross multiply
    11,770.58x = 16,243.44 × 6,465.26
  4. Step 4: Simplify right side
    11,770.58x = 105,018,062.89
  5. Step 5: Solve for x
    x = 105,018,062.89/11,770.58
  6. Step 6: Final answer
    x = 8,922.08

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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.