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Finding the Fourth Proportional to 8,657.88, 12,986.10 and 3,464.04

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Solution

The fourth proportional to 8,657.88, 12,986.10 and 3,464.04 is: 5,195.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,657.88 : 12,986.10 = 3,464.04 : x
  2. Step 2: Convert to fraction form
    8,657.88/12,986.10 = 3,464.04/x
  3. Step 3: Cross multiply
    8,657.88x = 12,986.10 × 3,464.04
  4. Step 4: Simplify right side
    8,657.88x = 44,984,369.84
  5. Step 5: Solve for x
    x = 44,984,369.84/8,657.88
  6. Step 6: Final answer
    x = 5,195.77

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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.