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Finding the Fourth Proportional to 11,202, 16,805.78 and 4,630.08

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Solution

The fourth proportional to 11,202, 16,805.78 and 4,630.08 is: 6,946.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,202 : 16,805.78 = 4,630.08 : x
  2. Step 2: Convert to fraction form
    11,202/16,805.78 = 4,630.08/x
  3. Step 3: Cross multiply
    11,202x = 16,805.78 × 4,630.08
  4. Step 4: Simplify right side
    11,202x = 77,812,105.86
  5. Step 5: Solve for x
    x = 77,812,105.86/11,202
  6. Step 6: Final answer
    x = 6,946.27

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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.