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Finding the Fourth Proportional to 11,943.84, 17,946 and 7,563.36

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Solution

The fourth proportional to 11,943.84, 17,946 and 7,563.36 is: 11,364.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.84 : 17,946 = 7,563.36 : x
  2. Step 2: Convert to fraction form
    11,943.84/17,946 = 7,563.36/x
  3. Step 3: Cross multiply
    11,943.84x = 17,946 × 7,563.36
  4. Step 4: Simplify right side
    11,943.84x = 135,732,058.56
  5. Step 5: Solve for x
    x = 135,732,058.56/11,943.84
  6. Step 6: Final answer
    x = 11,364.19

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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.