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Finding the Fourth Proportional to 10,832.64, 14,949.72 and 6,586.68

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Solution

The fourth proportional to 10,832.64, 14,949.72 and 6,586.68 is: 9,090.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,832.64 : 14,949.72 = 6,586.68 : x
  2. Step 2: Convert to fraction form
    10,832.64/14,949.72 = 6,586.68/x
  3. Step 3: Cross multiply
    10,832.64x = 14,949.72 × 6,586.68
  4. Step 4: Simplify right side
    10,832.64x = 98,469,021.73
  5. Step 5: Solve for x
    x = 98,469,021.73/10,832.64
  6. Step 6: Final answer
    x = 9,090.03

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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.