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Finding the Fourth Proportional to 13,905.57, 19,190.00 and 7,937.12

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Solution

The fourth proportional to 13,905.57, 19,190.00 and 7,937.12 is: 10,953.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,905.57 : 19,190.00 = 7,937.12 : x
  2. Step 2: Convert to fraction form
    13,905.57/19,190.00 = 7,937.12/x
  3. Step 3: Cross multiply
    13,905.57x = 19,190.00 × 7,937.12
  4. Step 4: Simplify right side
    13,905.57x = 152,313,197.16
  5. Step 5: Solve for x
    x = 152,313,197.16/13,905.57
  6. Step 6: Final answer
    x = 10,953.39

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.