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Finding the Fourth Proportional to 10,404.89, 14,360.09 and 5,930.24

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Solution

The fourth proportional to 10,404.89, 14,360.09 and 5,930.24 is: 8,184.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,404.89 : 14,360.09 = 5,930.24 : x
  2. Step 2: Convert to fraction form
    10,404.89/14,360.09 = 5,930.24/x
  3. Step 3: Cross multiply
    10,404.89x = 14,360.09 × 5,930.24
  4. Step 4: Simplify right side
    10,404.89x = 85,158,786.37
  5. Step 5: Solve for x
    x = 85,158,786.37/10,404.89
  6. Step 6: Final answer
    x = 8,184.50

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.