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Finding the Fourth Proportional to 8,597.26, 12,892.80 and 3,913.30

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Solution

The fourth proportional to 8,597.26, 12,892.80 and 3,913.30 is: 5,868.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,597.26 : 12,892.80 = 3,913.30 : x
  2. Step 2: Convert to fraction form
    8,597.26/12,892.80 = 3,913.30/x
  3. Step 3: Cross multiply
    8,597.26x = 12,892.80 × 3,913.30
  4. Step 4: Simplify right side
    8,597.26x = 50,453,394.24
  5. Step 5: Solve for x
    x = 50,453,394.24/8,597.26
  6. Step 6: Final answer
    x = 5,868.54

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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.