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Finding the Fourth Proportional to 8,438.23, 12,655.14 and 2,513.50

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Solution

The fourth proportional to 8,438.23, 12,655.14 and 2,513.50 is: 3,769.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,438.23 : 12,655.14 = 2,513.50 : x
  2. Step 2: Convert to fraction form
    8,438.23/12,655.14 = 2,513.50/x
  3. Step 3: Cross multiply
    8,438.23x = 12,655.14 × 2,513.50
  4. Step 4: Simplify right side
    8,438.23x = 31,808,694.39
  5. Step 5: Solve for x
    x = 31,808,694.39/8,438.23
  6. Step 6: Final answer
    x = 3,769.59

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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.