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Finding the Fourth Proportional to 10,765.25, 14,856.41 and 6,517.08

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Solution

The fourth proportional to 10,765.25, 14,856.41 and 6,517.08 is: 8,993.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,765.25 : 14,856.41 = 6,517.08 : x
  2. Step 2: Convert to fraction form
    10,765.25/14,856.41 = 6,517.08/x
  3. Step 3: Cross multiply
    10,765.25x = 14,856.41 × 6,517.08
  4. Step 4: Simplify right side
    10,765.25x = 96,820,392.12
  5. Step 5: Solve for x
    x = 96,820,392.12/10,765.25
  6. Step 6: Final answer
    x = 8,993.79

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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.