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Finding the Fourth Proportional to 8,206.61, 12,312.63 and 3,274.92

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Solution

The fourth proportional to 8,206.61, 12,312.63 and 3,274.92 is: 4,913.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,206.61 : 12,312.63 = 3,274.92 : x
  2. Step 2: Convert to fraction form
    8,206.61/12,312.63 = 3,274.92/x
  3. Step 3: Cross multiply
    8,206.61x = 12,312.63 × 3,274.92
  4. Step 4: Simplify right side
    8,206.61x = 40,322,878.24
  5. Step 5: Solve for x
    x = 40,322,878.24/8,206.61
  6. Step 6: Final answer
    x = 4,913.47

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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.