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Finding the Fourth Proportional to 8,818.14, 13,232.97 and 4,201.50

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Solution

The fourth proportional to 8,818.14, 13,232.97 and 4,201.50 is: 6,304.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,818.14 : 13,232.97 = 4,201.50 : x
  2. Step 2: Convert to fraction form
    8,818.14/13,232.97 = 4,201.50/x
  3. Step 3: Cross multiply
    8,818.14x = 13,232.97 × 4,201.50
  4. Step 4: Simplify right side
    8,818.14x = 55,598,323.46
  5. Step 5: Solve for x
    x = 55,598,323.46/8,818.14
  6. Step 6: Final answer
    x = 6,304.99

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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.