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Finding the Fourth Proportional to 7,871.13, 11,804.81 and 2,322.97

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Solution

The fourth proportional to 7,871.13, 11,804.81 and 2,322.97 is: 3,483.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,871.13 : 11,804.81 = 2,322.97 : x
  2. Step 2: Convert to fraction form
    7,871.13/11,804.81 = 2,322.97/x
  3. Step 3: Cross multiply
    7,871.13x = 11,804.81 × 2,322.97
  4. Step 4: Simplify right side
    7,871.13x = 27,422,178.36
  5. Step 5: Solve for x
    x = 27,422,178.36/7,871.13
  6. Step 6: Final answer
    x = 3,483.89

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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.