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Finding the Fourth Proportional to 10,050.17, 13,857.92 and 6,411.38

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Solution

The fourth proportional to 10,050.17, 13,857.92 and 6,411.38 is: 8,840.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,050.17 : 13,857.92 = 6,411.38 : x
  2. Step 2: Convert to fraction form
    10,050.17/13,857.92 = 6,411.38/x
  3. Step 3: Cross multiply
    10,050.17x = 13,857.92 × 6,411.38
  4. Step 4: Simplify right side
    10,050.17x = 88,848,289.78
  5. Step 5: Solve for x
    x = 88,848,289.78/10,050.17
  6. Step 6: Final answer
    x = 8,840.48

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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.