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Finding the Fourth Proportional to 8,357.99, 12,535.56 and 2,513.23

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Solution

The fourth proportional to 8,357.99, 12,535.56 and 2,513.23 is: 3,769.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.99 : 12,535.56 = 2,513.23 : x
  2. Step 2: Convert to fraction form
    8,357.99/12,535.56 = 2,513.23/x
  3. Step 3: Cross multiply
    8,357.99x = 12,535.56 × 2,513.23
  4. Step 4: Simplify right side
    8,357.99x = 31,504,714.12
  5. Step 5: Solve for x
    x = 31,504,714.12/8,357.99
  6. Step 6: Final answer
    x = 3,769.42

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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.