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Finding the Fourth Proportional to 10,200.88, 14,077.29 and 5,724.73

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Solution

The fourth proportional to 10,200.88, 14,077.29 and 5,724.73 is: 7,900.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,200.88 : 14,077.29 = 5,724.73 : x
  2. Step 2: Convert to fraction form
    10,200.88/14,077.29 = 5,724.73/x
  3. Step 3: Cross multiply
    10,200.88x = 14,077.29 × 5,724.73
  4. Step 4: Simplify right side
    10,200.88x = 80,588,684.38
  5. Step 5: Solve for x
    x = 80,588,684.38/10,200.88
  6. Step 6: Final answer
    x = 7,900.17

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Why These Related Problems?

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