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Finding the Fourth Proportional to 10,940.80, 16,427.40 and 8,478.40

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Solution

The fourth proportional to 10,940.80, 16,427.40 and 8,478.40 is: 12,730.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,940.80 : 16,427.40 = 8,478.40 : x
  2. Step 2: Convert to fraction form
    10,940.80/16,427.40 = 8,478.40/x
  3. Step 3: Cross multiply
    10,940.80x = 16,427.40 × 8,478.40
  4. Step 4: Simplify right side
    10,940.80x = 139,278,068.16
  5. Step 5: Solve for x
    x = 139,278,068.16/10,940.80
  6. Step 6: Final answer
    x = 12,730.15

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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.