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Finding the Fourth Proportional to 8,633.17, 12,952.47 and 3,086.40

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Solution

The fourth proportional to 8,633.17, 12,952.47 and 3,086.40 is: 4,630.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,633.17 : 12,952.47 = 3,086.40 : x
  2. Step 2: Convert to fraction form
    8,633.17/12,952.47 = 3,086.40/x
  3. Step 3: Cross multiply
    8,633.17x = 12,952.47 × 3,086.40
  4. Step 4: Simplify right side
    8,633.17x = 39,976,503.41
  5. Step 5: Solve for x
    x = 39,976,503.41/8,633.17
  6. Step 6: Final answer
    x = 4,630.57

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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.