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Finding the Fourth Proportional to 11,802.80, 16,284.92 and 7,606

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Solution

The fourth proportional to 11,802.80, 16,284.92 and 7,606 is: 10,494.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,802.80 : 16,284.92 = 7,606 : x
  2. Step 2: Convert to fraction form
    11,802.80/16,284.92 = 7,606/x
  3. Step 3: Cross multiply
    11,802.80x = 16,284.92 × 7,606
  4. Step 4: Simplify right side
    11,802.80x = 123,863,101.52
  5. Step 5: Solve for x
    x = 123,863,101.52/11,802.80
  6. Step 6: Final answer
    x = 10,494.38

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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.