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Finding the Fourth Proportional to 7,302.66, 10,960.50 and 3,409.26

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Solution

The fourth proportional to 7,302.66, 10,960.50 and 3,409.26 is: 5,116.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,302.66 : 10,960.50 = 3,409.26 : x
  2. Step 2: Convert to fraction form
    7,302.66/10,960.50 = 3,409.26/x
  3. Step 3: Cross multiply
    7,302.66x = 10,960.50 × 3,409.26
  4. Step 4: Simplify right side
    7,302.66x = 37,367,194.23
  5. Step 5: Solve for x
    x = 37,367,194.23/7,302.66
  6. Step 6: Final answer
    x = 5,116.93

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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.