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Finding the Fourth Proportional to 7,542.46, 11,298.97 and 4,937.50

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Solution

The fourth proportional to 7,542.46, 11,298.97 and 4,937.50 is: 7,396.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,542.46 : 11,298.97 = 4,937.50 : x
  2. Step 2: Convert to fraction form
    7,542.46/11,298.97 = 4,937.50/x
  3. Step 3: Cross multiply
    7,542.46x = 11,298.97 × 4,937.50
  4. Step 4: Simplify right side
    7,542.46x = 55,788,664.38
  5. Step 5: Solve for x
    x = 55,788,664.38/7,542.46
  6. Step 6: Final answer
    x = 7,396.61

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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.