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Finding the Fourth Proportional to 8,357.25, 12,535.88 and 2,513.87

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Solution

The fourth proportional to 8,357.25, 12,535.88 and 2,513.87 is: 3,770.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,357.25 : 12,535.88 = 2,513.87 : x
  2. Step 2: Convert to fraction form
    8,357.25/12,535.88 = 2,513.87/x
  3. Step 3: Cross multiply
    8,357.25x = 12,535.88 × 2,513.87
  4. Step 4: Simplify right side
    8,357.25x = 31,513,497.41
  5. Step 5: Solve for x
    x = 31,513,497.41/8,357.25
  6. Step 6: Final answer
    x = 3,770.80

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Why These Related Problems?

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