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Finding the Fourth Proportional to 7,272.96, 10,909.84 and 2,342.24

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Solution

The fourth proportional to 7,272.96, 10,909.84 and 2,342.24 is: 3,513.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,272.96 : 10,909.84 = 2,342.24 : x
  2. Step 2: Convert to fraction form
    7,272.96/10,909.84 = 2,342.24/x
  3. Step 3: Cross multiply
    7,272.96x = 10,909.84 × 2,342.24
  4. Step 4: Simplify right side
    7,272.96x = 25,553,463.64
  5. Step 5: Solve for x
    x = 25,553,463.64/7,272.96
  6. Step 6: Final answer
    x = 3,513.49

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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.