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Finding the Fourth Proportional to 10,894.35, 16,347.47 and 4,231.14

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Solution

The fourth proportional to 10,894.35, 16,347.47 and 4,231.14 is: 6,349.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,894.35 : 16,347.47 = 4,231.14 : x
  2. Step 2: Convert to fraction form
    10,894.35/16,347.47 = 4,231.14/x
  3. Step 3: Cross multiply
    10,894.35x = 16,347.47 × 4,231.14
  4. Step 4: Simplify right side
    10,894.35x = 69,168,375.56
  5. Step 5: Solve for x
    x = 69,168,375.56/10,894.35
  6. Step 6: Final answer
    x = 6,349.01

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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.