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Finding the Fourth Proportional to 8,338.25, 11,507.10 and 4,561.19

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Solution

The fourth proportional to 8,338.25, 11,507.10 and 4,561.19 is: 6,294.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,338.25 : 11,507.10 = 4,561.19 : x
  2. Step 2: Convert to fraction form
    8,338.25/11,507.10 = 4,561.19/x
  3. Step 3: Cross multiply
    8,338.25x = 11,507.10 × 4,561.19
  4. Step 4: Simplify right side
    8,338.25x = 52,486,037.96
  5. Step 5: Solve for x
    x = 52,486,037.96/8,338.25
  6. Step 6: Final answer
    x = 6,294.61

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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.