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Finding the Fourth Proportional to 11,794.33, 16,258.57 and 7,808.53

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Solution

The fourth proportional to 11,794.33, 16,258.57 and 7,808.53 is: 10,764.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,794.33 : 16,258.57 = 7,808.53 : x
  2. Step 2: Convert to fraction form
    11,794.33/16,258.57 = 7,808.53/x
  3. Step 3: Cross multiply
    11,794.33x = 16,258.57 × 7,808.53
  4. Step 4: Simplify right side
    11,794.33x = 126,955,455.59
  5. Step 5: Solve for x
    x = 126,955,455.59/11,794.33
  6. Step 6: Final answer
    x = 10,764.11

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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.