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Finding the Fourth Proportional to 8,423.84, 12,628.38 and 3,490.40

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Solution

The fourth proportional to 8,423.84, 12,628.38 and 3,490.40 is: 5,232.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,423.84 : 12,628.38 = 3,490.40 : x
  2. Step 2: Convert to fraction form
    8,423.84/12,628.38 = 3,490.40/x
  3. Step 3: Cross multiply
    8,423.84x = 12,628.38 × 3,490.40
  4. Step 4: Simplify right side
    8,423.84x = 44,078,097.55
  5. Step 5: Solve for x
    x = 44,078,097.55/8,423.84
  6. Step 6: Final answer
    x = 5,232.54

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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.