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Finding the Fourth Proportional to 10,054.87, 13,866.63 and 6,278.38

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Solution

The fourth proportional to 10,054.87, 13,866.63 and 6,278.38 is: 8,658.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.87 : 13,866.63 = 6,278.38 : x
  2. Step 2: Convert to fraction form
    10,054.87/13,866.63 = 6,278.38/x
  3. Step 3: Cross multiply
    10,054.87x = 13,866.63 × 6,278.38
  4. Step 4: Simplify right side
    10,054.87x = 87,059,914.25
  5. Step 5: Solve for x
    x = 87,059,914.25/10,054.87
  6. Step 6: Final answer
    x = 8,658.48

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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.