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Finding the Fourth Proportional to 7,932.42, 11,884.25 and 4,813.20

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Solution

The fourth proportional to 7,932.42, 11,884.25 and 4,813.20 is: 7,211.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,932.42 : 11,884.25 = 4,813.20 : x
  2. Step 2: Convert to fraction form
    7,932.42/11,884.25 = 4,813.20/x
  3. Step 3: Cross multiply
    7,932.42x = 11,884.25 × 4,813.20
  4. Step 4: Simplify right side
    7,932.42x = 57,201,248.03
  5. Step 5: Solve for x
    x = 57,201,248.03/7,932.42
  6. Step 6: Final answer
    x = 7,211.07

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.