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Finding the Fourth Proportional to 11,874.96, 17,800.70 and 5,623.99

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Solution

The fourth proportional to 11,874.96, 17,800.70 and 5,623.99 is: 8,430.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,874.96 : 17,800.70 = 5,623.99 : x
  2. Step 2: Convert to fraction form
    11,874.96/17,800.70 = 5,623.99/x
  3. Step 3: Cross multiply
    11,874.96x = 17,800.70 × 5,623.99
  4. Step 4: Simplify right side
    11,874.96x = 100,110,886.17
  5. Step 5: Solve for x
    x = 100,110,886.17/11,874.96
  6. Step 6: Final answer
    x = 8,430.42

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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.