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Finding the Fourth Proportional to 11,637.26, 17,455.88 and 6,696.68

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Solution

The fourth proportional to 11,637.26, 17,455.88 and 6,696.68 is: 10,045.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,637.26 : 17,455.88 = 6,696.68 : x
  2. Step 2: Convert to fraction form
    11,637.26/17,455.88 = 6,696.68/x
  3. Step 3: Cross multiply
    11,637.26x = 17,455.88 × 6,696.68
  4. Step 4: Simplify right side
    11,637.26x = 116,896,321.72
  5. Step 5: Solve for x
    x = 116,896,321.72/11,637.26
  6. Step 6: Final answer
    x = 10,045.01

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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.