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Finding the Fourth Proportional to 8,646.54, 12,969.94 and 2,723.24

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Solution

The fourth proportional to 8,646.54, 12,969.94 and 2,723.24 is: 4,084.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,646.54 : 12,969.94 = 2,723.24 : x
  2. Step 2: Convert to fraction form
    8,646.54/12,969.94 = 2,723.24/x
  3. Step 3: Cross multiply
    8,646.54x = 12,969.94 × 2,723.24
  4. Step 4: Simplify right side
    8,646.54x = 35,320,259.41
  5. Step 5: Solve for x
    x = 35,320,259.41/8,646.54
  6. Step 6: Final answer
    x = 4,084.90

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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.