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Finding the Fourth Proportional to 8,286.18, 12,423.06 and 4,998.50

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Solution

The fourth proportional to 8,286.18, 12,423.06 and 4,998.50 is: 7,494.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,286.18 : 12,423.06 = 4,998.50 : x
  2. Step 2: Convert to fraction form
    8,286.18/12,423.06 = 4,998.50/x
  3. Step 3: Cross multiply
    8,286.18x = 12,423.06 × 4,998.50
  4. Step 4: Simplify right side
    8,286.18x = 62,096,677.72
  5. Step 5: Solve for x
    x = 62,096,677.72/8,286.18
  6. Step 6: Final answer
    x = 7,494.01

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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.