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Finding the Fourth Proportional to 12,037.65, 16,611.64 and 6,732.96

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Solution

The fourth proportional to 12,037.65, 16,611.64 and 6,732.96 is: 9,291.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,037.65 : 16,611.64 = 6,732.96 : x
  2. Step 2: Convert to fraction form
    12,037.65/16,611.64 = 6,732.96/x
  3. Step 3: Cross multiply
    12,037.65x = 16,611.64 × 6,732.96
  4. Step 4: Simplify right side
    12,037.65x = 111,845,507.65
  5. Step 5: Solve for x
    x = 111,845,507.65/12,037.65
  6. Step 6: Final answer
    x = 9,291.31

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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.