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Finding the Fourth Proportional to 8,209.38, 11,330.18 and 4,624.67

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Solution

The fourth proportional to 8,209.38, 11,330.18 and 4,624.67 is: 6,382.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,209.38 : 11,330.18 = 4,624.67 : x
  2. Step 2: Convert to fraction form
    8,209.38/11,330.18 = 4,624.67/x
  3. Step 3: Cross multiply
    8,209.38x = 11,330.18 × 4,624.67
  4. Step 4: Simplify right side
    8,209.38x = 52,398,334.22
  5. Step 5: Solve for x
    x = 52,398,334.22/8,209.38
  6. Step 6: Final answer
    x = 6,382.74

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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.