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Finding the Fourth Proportional to 8,419.46, 12,628.14 and 2,178.95

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Solution

The fourth proportional to 8,419.46, 12,628.14 and 2,178.95 is: 3,268.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,419.46 : 12,628.14 = 2,178.95 : x
  2. Step 2: Convert to fraction form
    8,419.46/12,628.14 = 2,178.95/x
  3. Step 3: Cross multiply
    8,419.46x = 12,628.14 × 2,178.95
  4. Step 4: Simplify right side
    8,419.46x = 27,516,014.34
  5. Step 5: Solve for x
    x = 27,516,014.34/8,419.46
  6. Step 6: Final answer
    x = 3,268.15

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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.