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Finding the Fourth Proportional to 7,699.86, 11,550.87 and 2,504.52

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Solution

The fourth proportional to 7,699.86, 11,550.87 and 2,504.52 is: 3,757.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.86 : 11,550.87 = 2,504.52 : x
  2. Step 2: Convert to fraction form
    7,699.86/11,550.87 = 2,504.52/x
  3. Step 3: Cross multiply
    7,699.86x = 11,550.87 × 2,504.52
  4. Step 4: Simplify right side
    7,699.86x = 28,929,384.93
  5. Step 5: Solve for x
    x = 28,929,384.93/7,699.86
  6. Step 6: Final answer
    x = 3,757.13

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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.