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Finding the Fourth Proportional to 7,354.62, 11,033.98 and 2,975.15

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Solution

The fourth proportional to 7,354.62, 11,033.98 and 2,975.15 is: 4,463.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,354.62 : 11,033.98 = 2,975.15 : x
  2. Step 2: Convert to fraction form
    7,354.62/11,033.98 = 2,975.15/x
  3. Step 3: Cross multiply
    7,354.62x = 11,033.98 × 2,975.15
  4. Step 4: Simplify right side
    7,354.62x = 32,827,745.60
  5. Step 5: Solve for x
    x = 32,827,745.60/7,354.62
  6. Step 6: Final answer
    x = 4,463.56

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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.