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Finding the Fourth Proportional to 7,651.76, 11,478.28 and 3,269.26

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Solution

The fourth proportional to 7,651.76, 11,478.28 and 3,269.26 is: 4,904.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,651.76 : 11,478.28 = 3,269.26 : x
  2. Step 2: Convert to fraction form
    7,651.76/11,478.28 = 3,269.26/x
  3. Step 3: Cross multiply
    7,651.76x = 11,478.28 × 3,269.26
  4. Step 4: Simplify right side
    7,651.76x = 37,525,481.67
  5. Step 5: Solve for x
    x = 37,525,481.67/7,651.76
  6. Step 6: Final answer
    x = 4,904.16

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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.