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Finding the Fourth Proportional to 6,783.57, 10,177.07 and 2,622.46

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Solution

The fourth proportional to 6,783.57, 10,177.07 and 2,622.46 is: 3,934.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,783.57 : 10,177.07 = 2,622.46 : x
  2. Step 2: Convert to fraction form
    6,783.57/10,177.07 = 2,622.46/x
  3. Step 3: Cross multiply
    6,783.57x = 10,177.07 × 2,622.46
  4. Step 4: Simplify right side
    6,783.57x = 26,688,989.83
  5. Step 5: Solve for x
    x = 26,688,989.83/6,783.57
  6. Step 6: Final answer
    x = 3,934.36

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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.