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Finding the Fourth Proportional to 7,699.27, 11,550 and 2,767.99

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Solution

The fourth proportional to 7,699.27, 11,550 and 2,767.99 is: 4,152.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,699.27 : 11,550 = 2,767.99 : x
  2. Step 2: Convert to fraction form
    7,699.27/11,550 = 2,767.99/x
  3. Step 3: Cross multiply
    7,699.27x = 11,550 × 2,767.99
  4. Step 4: Simplify right side
    7,699.27x = 31,970,284.50
  5. Step 5: Solve for x
    x = 31,970,284.50/7,699.27
  6. Step 6: Final answer
    x = 4,152.38

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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.