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Finding the Fourth Proportional to 10,930.12, 16,396.22 and 4,005.16

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Solution

The fourth proportional to 10,930.12, 16,396.22 and 4,005.16 is: 6,008.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,930.12 : 16,396.22 = 4,005.16 : x
  2. Step 2: Convert to fraction form
    10,930.12/16,396.22 = 4,005.16/x
  3. Step 3: Cross multiply
    10,930.12x = 16,396.22 × 4,005.16
  4. Step 4: Simplify right side
    10,930.12x = 65,669,484.50
  5. Step 5: Solve for x
    x = 65,669,484.50/10,930.12
  6. Step 6: Final answer
    x = 6,008.12

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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.