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Finding the Fourth Proportional to 8,357.13, 12,535.74 and 2,513.70

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Solution

The fourth proportional to 8,357.13, 12,535.74 and 2,513.70 is: 3,770.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.13 : 12,535.74 = 2,513.70 : x
  2. Step 2: Convert to fraction form
    8,357.13/12,535.74 = 2,513.70/x
  3. Step 3: Cross multiply
    8,357.13x = 12,535.74 × 2,513.70
  4. Step 4: Simplify right side
    8,357.13x = 31,511,089.64
  5. Step 5: Solve for x
    x = 31,511,089.64/8,357.13
  6. Step 6: Final answer
    x = 3,770.56

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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.