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Finding the Fourth Proportional to 11,767.95, 16,238.48 and 6,733.53

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Solution

The fourth proportional to 11,767.95, 16,238.48 and 6,733.53 is: 9,291.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,767.95 : 16,238.48 = 6,733.53 : x
  2. Step 2: Convert to fraction form
    11,767.95/16,238.48 = 6,733.53/x
  3. Step 3: Cross multiply
    11,767.95x = 16,238.48 × 6,733.53
  4. Step 4: Simplify right side
    11,767.95x = 109,342,258.57
  5. Step 5: Solve for x
    x = 109,342,258.57/11,767.95
  6. Step 6: Final answer
    x = 9,291.53

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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.