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Finding the Fourth Proportional to 10,665.22, 14,718.63 and 6,187.33

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Solution

The fourth proportional to 10,665.22, 14,718.63 and 6,187.33 is: 8,538.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,665.22 : 14,718.63 = 6,187.33 : x
  2. Step 2: Convert to fraction form
    10,665.22/14,718.63 = 6,187.33/x
  3. Step 3: Cross multiply
    10,665.22x = 14,718.63 × 6,187.33
  4. Step 4: Simplify right side
    10,665.22x = 91,069,020.96
  5. Step 5: Solve for x
    x = 91,069,020.96/10,665.22
  6. Step 6: Final answer
    x = 8,538.88

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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.