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Finding the Fourth Proportional to 6,940.36, 10,400.80 and 4,627

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Solution

The fourth proportional to 6,940.36, 10,400.80 and 4,627 is: 6,934.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,940.36 : 10,400.80 = 4,627 : x
  2. Step 2: Convert to fraction form
    6,940.36/10,400.80 = 4,627/x
  3. Step 3: Cross multiply
    6,940.36x = 10,400.80 × 4,627
  4. Step 4: Simplify right side
    6,940.36x = 48,124,501.60
  5. Step 5: Solve for x
    x = 48,124,501.60/6,940.36
  6. Step 6: Final answer
    x = 6,934.01

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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.