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Finding the Fourth Proportional to 10,766.57, 14,856.35 and 5,986.17

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Solution

The fourth proportional to 10,766.57, 14,856.35 and 5,986.17 is: 8,260.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,766.57 : 14,856.35 = 5,986.17 : x
  2. Step 2: Convert to fraction form
    10,766.57/14,856.35 = 5,986.17/x
  3. Step 3: Cross multiply
    10,766.57x = 14,856.35 × 5,986.17
  4. Step 4: Simplify right side
    10,766.57x = 88,932,606.75
  5. Step 5: Solve for x
    x = 88,932,606.75/10,766.57
  6. Step 6: Final answer
    x = 8,260.07

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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.