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Finding the Fourth Proportional to 11,446.36, 15,795.76 and 6,341.39

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Solution

The fourth proportional to 11,446.36, 15,795.76 and 6,341.39 is: 8,750.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,446.36 : 15,795.76 = 6,341.39 : x
  2. Step 2: Convert to fraction form
    11,446.36/15,795.76 = 6,341.39/x
  3. Step 3: Cross multiply
    11,446.36x = 15,795.76 × 6,341.39
  4. Step 4: Simplify right side
    11,446.36x = 100,167,050.80
  5. Step 5: Solve for x
    x = 100,167,050.80/11,446.36
  6. Step 6: Final answer
    x = 8,750.99

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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.