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Finding the Fourth Proportional to 11,074.82, 15,283.25 and 6,106.82

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Solution

The fourth proportional to 11,074.82, 15,283.25 and 6,106.82 is: 8,427.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,074.82 : 15,283.25 = 6,106.82 : x
  2. Step 2: Convert to fraction form
    11,074.82/15,283.25 = 6,106.82/x
  3. Step 3: Cross multiply
    11,074.82x = 15,283.25 × 6,106.82
  4. Step 4: Simplify right side
    11,074.82x = 93,332,056.77
  5. Step 5: Solve for x
    x = 93,332,056.77/11,074.82
  6. Step 6: Final answer
    x = 8,427.41

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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.