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Finding the Fourth Proportional to 7,212.38, 9,953.97 and 4,068.50

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Solution

The fourth proportional to 7,212.38, 9,953.97 and 4,068.50 is: 5,615.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212.38 : 9,953.97 = 4,068.50 : x
  2. Step 2: Convert to fraction form
    7,212.38/9,953.97 = 4,068.50/x
  3. Step 3: Cross multiply
    7,212.38x = 9,953.97 × 4,068.50
  4. Step 4: Simplify right side
    7,212.38x = 40,497,726.95
  5. Step 5: Solve for x
    x = 40,497,726.95/7,212.38
  6. Step 6: Final answer
    x = 5,615.03

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.