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Finding the Fourth Proportional to 11,810.34, 17,718.54 and 4,414.86

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Solution

The fourth proportional to 11,810.34, 17,718.54 and 4,414.86 is: 6,623.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,810.34 : 17,718.54 = 4,414.86 : x
  2. Step 2: Convert to fraction form
    11,810.34/17,718.54 = 4,414.86/x
  3. Step 3: Cross multiply
    11,810.34x = 17,718.54 × 4,414.86
  4. Step 4: Simplify right side
    11,810.34x = 78,224,873.50
  5. Step 5: Solve for x
    x = 78,224,873.50/11,810.34
  6. Step 6: Final answer
    x = 6,623.42

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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.