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Finding the Fourth Proportional to 11,424.35, 15,767.39 and 6,949.51

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Solution

The fourth proportional to 11,424.35, 15,767.39 and 6,949.51 is: 9,591.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,424.35 : 15,767.39 = 6,949.51 : x
  2. Step 2: Convert to fraction form
    11,424.35/15,767.39 = 6,949.51/x
  3. Step 3: Cross multiply
    11,424.35x = 15,767.39 × 6,949.51
  4. Step 4: Simplify right side
    11,424.35x = 109,575,634.48
  5. Step 5: Solve for x
    x = 109,575,634.48/11,424.35
  6. Step 6: Final answer
    x = 9,591.41

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.