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Finding the Fourth Proportional to 8,195.52, 12,292.88 and 3,001

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Solution

The fourth proportional to 8,195.52, 12,292.88 and 3,001 is: 4,501.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,195.52 : 12,292.88 = 3,001 : x
  2. Step 2: Convert to fraction form
    8,195.52/12,292.88 = 3,001/x
  3. Step 3: Cross multiply
    8,195.52x = 12,292.88 × 3,001
  4. Step 4: Simplify right side
    8,195.52x = 36,890,932.88
  5. Step 5: Solve for x
    x = 36,890,932.88/8,195.52
  6. Step 6: Final answer
    x = 4,501.35

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.