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Finding the Fourth Proportional to 7,293.66, 10,933.80 and 3,543.27

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Solution

The fourth proportional to 7,293.66, 10,933.80 and 3,543.27 is: 5,311.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,293.66 : 10,933.80 = 3,543.27 : x
  2. Step 2: Convert to fraction form
    7,293.66/10,933.80 = 3,543.27/x
  3. Step 3: Cross multiply
    7,293.66x = 10,933.80 × 3,543.27
  4. Step 4: Simplify right side
    7,293.66x = 38,741,405.53
  5. Step 5: Solve for x
    x = 38,741,405.53/7,293.66
  6. Step 6: Final answer
    x = 5,311.65

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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.