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Finding the Fourth Proportional to 8,282.18, 12,424.19 and 4,123.24

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Solution

The fourth proportional to 8,282.18, 12,424.19 and 4,123.24 is: 6,185.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,282.18 : 12,424.19 = 4,123.24 : x
  2. Step 2: Convert to fraction form
    8,282.18/12,424.19 = 4,123.24/x
  3. Step 3: Cross multiply
    8,282.18x = 12,424.19 × 4,123.24
  4. Step 4: Simplify right side
    8,282.18x = 51,227,865.50
  5. Step 5: Solve for x
    x = 51,227,865.50/8,282.18
  6. Step 6: Final answer
    x = 6,185.31

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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.