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Finding the Fourth Proportional to 11,806.51, 16,293 and 6,501.33

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Solution

The fourth proportional to 11,806.51, 16,293 and 6,501.33 is: 8,971.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,806.51 : 16,293 = 6,501.33 : x
  2. Step 2: Convert to fraction form
    11,806.51/16,293 = 6,501.33/x
  3. Step 3: Cross multiply
    11,806.51x = 16,293 × 6,501.33
  4. Step 4: Simplify right side
    11,806.51x = 105,926,169.69
  5. Step 5: Solve for x
    x = 105,926,169.69/11,806.51
  6. Step 6: Final answer
    x = 8,971.84

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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.