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Finding the Fourth Proportional to 8,567.96, 12,846.90 and 4,181

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Solution

The fourth proportional to 8,567.96, 12,846.90 and 4,181 is: 6,269.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,567.96 : 12,846.90 = 4,181 : x
  2. Step 2: Convert to fraction form
    8,567.96/12,846.90 = 4,181/x
  3. Step 3: Cross multiply
    8,567.96x = 12,846.90 × 4,181
  4. Step 4: Simplify right side
    8,567.96x = 53,712,888.90
  5. Step 5: Solve for x
    x = 53,712,888.90/8,567.96
  6. Step 6: Final answer
    x = 6,269.04

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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.