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Finding the Fourth Proportional to 11,586.06, 15,981.57 and 6,867

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Solution

The fourth proportional to 11,586.06, 15,981.57 and 6,867 is: 9,472.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,586.06 : 15,981.57 = 6,867 : x
  2. Step 2: Convert to fraction form
    11,586.06/15,981.57 = 6,867/x
  3. Step 3: Cross multiply
    11,586.06x = 15,981.57 × 6,867
  4. Step 4: Simplify right side
    11,586.06x = 109,745,441.19
  5. Step 5: Solve for x
    x = 109,745,441.19/11,586.06
  6. Step 6: Final answer
    x = 9,472.20

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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.