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Finding the Fourth Proportional to 8,330, 11,495.42 and 4,604

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Solution

The fourth proportional to 8,330, 11,495.42 and 4,604 is: 6,353.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,330 : 11,495.42 = 4,604 : x
  2. Step 2: Convert to fraction form
    8,330/11,495.42 = 4,604/x
  3. Step 3: Cross multiply
    8,330x = 11,495.42 × 4,604
  4. Step 4: Simplify right side
    8,330x = 52,924,913.68
  5. Step 5: Solve for x
    x = 52,924,913.68/8,330
  6. Step 6: Final answer
    x = 6,353.53

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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.