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Finding the Fourth Proportional to 8,265, 12,397.50 and 5,189.16

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Solution

The fourth proportional to 8,265, 12,397.50 and 5,189.16 is: 7,783.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,265 : 12,397.50 = 5,189.16 : x
  2. Step 2: Convert to fraction form
    8,265/12,397.50 = 5,189.16/x
  3. Step 3: Cross multiply
    8,265x = 12,397.50 × 5,189.16
  4. Step 4: Simplify right side
    8,265x = 64,332,611.10
  5. Step 5: Solve for x
    x = 64,332,611.10/8,265
  6. Step 6: Final answer
    x = 7,783.74

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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.