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Finding the Fourth Proportional to 10,054.92, 13,876.26 and 6,280.32

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Solution

The fourth proportional to 10,054.92, 13,876.26 and 6,280.32 is: 8,667.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.92 : 13,876.26 = 6,280.32 : x
  2. Step 2: Convert to fraction form
    10,054.92/13,876.26 = 6,280.32/x
  3. Step 3: Cross multiply
    10,054.92x = 13,876.26 × 6,280.32
  4. Step 4: Simplify right side
    10,054.92x = 87,147,353.20
  5. Step 5: Solve for x
    x = 87,147,353.20/10,054.92
  6. Step 6: Final answer
    x = 8,667.14

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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.