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Finding the Fourth Proportional to 11,713, 17,569.14 and 3,393.22

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Solution

The fourth proportional to 11,713, 17,569.14 and 3,393.22 is: 5,089.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,713 : 17,569.14 = 3,393.22 : x
  2. Step 2: Convert to fraction form
    11,713/17,569.14 = 3,393.22/x
  3. Step 3: Cross multiply
    11,713x = 17,569.14 × 3,393.22
  4. Step 4: Simplify right side
    11,713x = 59,615,957.23
  5. Step 5: Solve for x
    x = 59,615,957.23/11,713
  6. Step 6: Final answer
    x = 5,089.73

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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.