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Finding the Fourth Proportional to 8,117.46, 11,202.08 and 4,580.67

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Solution

The fourth proportional to 8,117.46, 11,202.08 and 4,580.67 is: 6,321.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,117.46 : 11,202.08 = 4,580.67 : x
  2. Step 2: Convert to fraction form
    8,117.46/11,202.08 = 4,580.67/x
  3. Step 3: Cross multiply
    8,117.46x = 11,202.08 × 4,580.67
  4. Step 4: Simplify right side
    8,117.46x = 51,313,031.79
  5. Step 5: Solve for x
    x = 51,313,031.79/8,117.46
  6. Step 6: Final answer
    x = 6,321.32

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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.