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Finding the Fourth Proportional to 11,597, 17,398.38 and 3,389

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Solution

The fourth proportional to 11,597, 17,398.38 and 3,389 is: 5,084.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,597 : 17,398.38 = 3,389 : x
  2. Step 2: Convert to fraction form
    11,597/17,398.38 = 3,389/x
  3. Step 3: Cross multiply
    11,597x = 17,398.38 × 3,389
  4. Step 4: Simplify right side
    11,597x = 58,963,109.82
  5. Step 5: Solve for x
    x = 58,963,109.82/11,597
  6. Step 6: Final answer
    x = 5,084.34

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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.