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Finding the Fourth Proportional to 11,971.65, 16,521.01 and 6,937.09

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Solution

The fourth proportional to 11,971.65, 16,521.01 and 6,937.09 is: 9,573.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,971.65 : 16,521.01 = 6,937.09 : x
  2. Step 2: Convert to fraction form
    11,971.65/16,521.01 = 6,937.09/x
  3. Step 3: Cross multiply
    11,971.65x = 16,521.01 × 6,937.09
  4. Step 4: Simplify right side
    11,971.65x = 114,607,806.57
  5. Step 5: Solve for x
    x = 114,607,806.57/11,971.65
  6. Step 6: Final answer
    x = 9,573.27

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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.