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Finding the Fourth Proportional to 11,665.29, 17,497.22 and 4,739.61

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Solution

The fourth proportional to 11,665.29, 17,497.22 and 4,739.61 is: 7,109.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.29 : 17,497.22 = 4,739.61 : x
  2. Step 2: Convert to fraction form
    11,665.29/17,497.22 = 4,739.61/x
  3. Step 3: Cross multiply
    11,665.29x = 17,497.22 × 4,739.61
  4. Step 4: Simplify right side
    11,665.29x = 82,929,975.19
  5. Step 5: Solve for x
    x = 82,929,975.19/11,665.29
  6. Step 6: Final answer
    x = 7,109.12

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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.