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Finding the Fourth Proportional to 8,178.74, 12,268.30 and 4,643.49

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Solution

The fourth proportional to 8,178.74, 12,268.30 and 4,643.49 is: 6,965.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,178.74 : 12,268.30 = 4,643.49 : x
  2. Step 2: Convert to fraction form
    8,178.74/12,268.30 = 4,643.49/x
  3. Step 3: Cross multiply
    8,178.74x = 12,268.30 × 4,643.49
  4. Step 4: Simplify right side
    8,178.74x = 56,967,728.37
  5. Step 5: Solve for x
    x = 56,967,728.37/8,178.74
  6. Step 6: Final answer
    x = 6,965.34

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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.