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Finding the Fourth Proportional to 8,039.36, 11,145.68 and 7,754.24

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Solution

The fourth proportional to 8,039.36, 11,145.68 and 7,754.24 is: 10,750.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,039.36 : 11,145.68 = 7,754.24 : x
  2. Step 2: Convert to fraction form
    8,039.36/11,145.68 = 7,754.24/x
  3. Step 3: Cross multiply
    8,039.36x = 11,145.68 × 7,754.24
  4. Step 4: Simplify right side
    8,039.36x = 86,426,277.68
  5. Step 5: Solve for x
    x = 86,426,277.68/8,039.36
  6. Step 6: Final answer
    x = 10,750.39

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.