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Finding the Fourth Proportional to 8,822.34, 13,235.54 and 3,892.37

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Solution

The fourth proportional to 8,822.34, 13,235.54 and 3,892.37 is: 5,839.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,822.34 : 13,235.54 = 3,892.37 : x
  2. Step 2: Convert to fraction form
    8,822.34/13,235.54 = 3,892.37/x
  3. Step 3: Cross multiply
    8,822.34x = 13,235.54 × 3,892.37
  4. Step 4: Simplify right side
    8,822.34x = 51,517,533.19
  5. Step 5: Solve for x
    x = 51,517,533.19/8,822.34
  6. Step 6: Final answer
    x = 5,839.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.