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Finding the Fourth Proportional to 7,866.94, 11,802.23 and 2,672.81

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Solution

The fourth proportional to 7,866.94, 11,802.23 and 2,672.81 is: 4,009.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,866.94 : 11,802.23 = 2,672.81 : x
  2. Step 2: Convert to fraction form
    7,866.94/11,802.23 = 2,672.81/x
  3. Step 3: Cross multiply
    7,866.94x = 11,802.23 × 2,672.81
  4. Step 4: Simplify right side
    7,866.94x = 31,545,118.37
  5. Step 5: Solve for x
    x = 31,545,118.37/7,866.94
  6. Step 6: Final answer
    x = 4,009.83

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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.