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Finding the Fourth Proportional to 10,404.56, 14,362.44 and 6,212

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Solution

The fourth proportional to 10,404.56, 14,362.44 and 6,212 is: 8,575.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.56 : 14,362.44 = 6,212 : x
  2. Step 2: Convert to fraction form
    10,404.56/14,362.44 = 6,212/x
  3. Step 3: Cross multiply
    10,404.56x = 14,362.44 × 6,212
  4. Step 4: Simplify right side
    10,404.56x = 89,219,477.28
  5. Step 5: Solve for x
    x = 89,219,477.28/10,404.56
  6. Step 6: Final answer
    x = 8,575.04

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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.