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Finding the Fourth Proportional to 11,865.96, 17,803.86 and 5,199.02

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Solution

The fourth proportional to 11,865.96, 17,803.86 and 5,199.02 is: 7,800.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,865.96 : 17,803.86 = 5,199.02 : x
  2. Step 2: Convert to fraction form
    11,865.96/17,803.86 = 5,199.02/x
  3. Step 3: Cross multiply
    11,865.96x = 17,803.86 × 5,199.02
  4. Step 4: Simplify right side
    11,865.96x = 92,562,582.47
  5. Step 5: Solve for x
    x = 92,562,582.47/11,865.96
  6. Step 6: Final answer
    x = 7,800.68

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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.