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Finding the Fourth Proportional to 11,665.78, 17,497.15 and 3,345.46

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Solution

The fourth proportional to 11,665.78, 17,497.15 and 3,345.46 is: 5,017.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,665.78 : 17,497.15 = 3,345.46 : x
  2. Step 2: Convert to fraction form
    11,665.78/17,497.15 = 3,345.46/x
  3. Step 3: Cross multiply
    11,665.78x = 17,497.15 × 3,345.46
  4. Step 4: Simplify right side
    11,665.78x = 58,535,963.33
  5. Step 5: Solve for x
    x = 58,535,963.33/11,665.78
  6. Step 6: Final answer
    x = 5,017.75

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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.