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Finding the Fourth Proportional to 10,200.99, 14,078.81 and 5,725.84

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Solution

The fourth proportional to 10,200.99, 14,078.81 and 5,725.84 is: 7,902.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.99 : 14,078.81 = 5,725.84 : x
  2. Step 2: Convert to fraction form
    10,200.99/14,078.81 = 5,725.84/x
  3. Step 3: Cross multiply
    10,200.99x = 14,078.81 × 5,725.84
  4. Step 4: Simplify right side
    10,200.99x = 80,613,018.97
  5. Step 5: Solve for x
    x = 80,613,018.97/10,200.99
  6. Step 6: Final answer
    x = 7,902.47

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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.