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Finding the Fourth Proportional to 7,965.01, 11,953.84 and 4,269.97

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Solution

The fourth proportional to 7,965.01, 11,953.84 and 4,269.97 is: 6,408.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,965.01 : 11,953.84 = 4,269.97 : x
  2. Step 2: Convert to fraction form
    7,965.01/11,953.84 = 4,269.97/x
  3. Step 3: Cross multiply
    7,965.01x = 11,953.84 × 4,269.97
  4. Step 4: Simplify right side
    7,965.01x = 51,042,538.18
  5. Step 5: Solve for x
    x = 51,042,538.18/7,965.01
  6. Step 6: Final answer
    x = 6,408.35

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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.