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Finding the Fourth Proportional to 8,139.64, 12,209.50 and 1,983.64

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Solution

The fourth proportional to 8,139.64, 12,209.50 and 1,983.64 is: 2,975.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,139.64 : 12,209.50 = 1,983.64 : x
  2. Step 2: Convert to fraction form
    8,139.64/12,209.50 = 1,983.64/x
  3. Step 3: Cross multiply
    8,139.64x = 12,209.50 × 1,983.64
  4. Step 4: Simplify right side
    8,139.64x = 24,219,252.58
  5. Step 5: Solve for x
    x = 24,219,252.58/8,139.64
  6. Step 6: Final answer
    x = 2,975.47

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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.