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Finding the Fourth Proportional to 10,200.54, 14,078.94 and 7,784.18

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Solution

The fourth proportional to 10,200.54, 14,078.94 and 7,784.18 is: 10,743.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.54 : 14,078.94 = 7,784.18 : x
  2. Step 2: Convert to fraction form
    10,200.54/14,078.94 = 7,784.18/x
  3. Step 3: Cross multiply
    10,200.54x = 14,078.94 × 7,784.18
  4. Step 4: Simplify right side
    10,200.54x = 109,593,022.06
  5. Step 5: Solve for x
    x = 109,593,022.06/10,200.54
  6. Step 6: Final answer
    x = 10,743.85

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.