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Finding the Fourth Proportional to 10,934.03, 16,409.03 and 4,362.09

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Solution

The fourth proportional to 10,934.03, 16,409.03 and 4,362.09 is: 6,546.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,934.03 : 16,409.03 = 4,362.09 : x
  2. Step 2: Convert to fraction form
    10,934.03/16,409.03 = 4,362.09/x
  3. Step 3: Cross multiply
    10,934.03x = 16,409.03 × 4,362.09
  4. Step 4: Simplify right side
    10,934.03x = 71,577,643.86
  5. Step 5: Solve for x
    x = 71,577,643.86/10,934.03
  6. Step 6: Final answer
    x = 6,546.32

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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.