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Finding the Fourth Proportional to 7,901.82, 11,843.01 and 4,004.10

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Solution

The fourth proportional to 7,901.82, 11,843.01 and 4,004.10 is: 6,001.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.82 : 11,843.01 = 4,004.10 : x
  2. Step 2: Convert to fraction form
    7,901.82/11,843.01 = 4,004.10/x
  3. Step 3: Cross multiply
    7,901.82x = 11,843.01 × 4,004.10
  4. Step 4: Simplify right side
    7,901.82x = 47,420,596.34
  5. Step 5: Solve for x
    x = 47,420,596.34/7,901.82
  6. Step 6: Final answer
    x = 6,001.22

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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.