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Finding the Fourth Proportional to 8,567.71, 12,834.25 and 6,709.97

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Solution

The fourth proportional to 8,567.71, 12,834.25 and 6,709.97 is: 10,051.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.71 : 12,834.25 = 6,709.97 : x
  2. Step 2: Convert to fraction form
    8,567.71/12,834.25 = 6,709.97/x
  3. Step 3: Cross multiply
    8,567.71x = 12,834.25 × 6,709.97
  4. Step 4: Simplify right side
    8,567.71x = 86,117,447.78
  5. Step 5: Solve for x
    x = 86,117,447.78/8,567.71
  6. Step 6: Final answer
    x = 10,051.40

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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.