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Finding the Fourth Proportional to 11,262.66, 16,896.92 and 6,586.66

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Solution

The fourth proportional to 11,262.66, 16,896.92 and 6,586.66 is: 9,881.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,262.66 : 16,896.92 = 6,586.66 : x
  2. Step 2: Convert to fraction form
    11,262.66/16,896.92 = 6,586.66/x
  3. Step 3: Cross multiply
    11,262.66x = 16,896.92 × 6,586.66
  4. Step 4: Simplify right side
    11,262.66x = 111,294,267.09
  5. Step 5: Solve for x
    x = 111,294,267.09/11,262.66
  6. Step 6: Final answer
    x = 9,881.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.