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Finding the Fourth Proportional to 8,526.57, 12,771.17 and 4,134.80

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Solution

The fourth proportional to 8,526.57, 12,771.17 and 4,134.80 is: 6,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,526.57 : 12,771.17 = 4,134.80 : x
  2. Step 2: Convert to fraction form
    8,526.57/12,771.17 = 4,134.80/x
  3. Step 3: Cross multiply
    8,526.57x = 12,771.17 × 4,134.80
  4. Step 4: Simplify right side
    8,526.57x = 52,806,188.64
  5. Step 5: Solve for x
    x = 52,806,188.64/8,526.57
  6. Step 6: Final answer
    x = 6,193.14

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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.