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Finding the Fourth Proportional to 11,732.16, 16,188.48 and 7,258.89

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Solution

The fourth proportional to 11,732.16, 16,188.48 and 7,258.89 is: 10,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.16 : 16,188.48 = 7,258.89 : x
  2. Step 2: Convert to fraction form
    11,732.16/16,188.48 = 7,258.89/x
  3. Step 3: Cross multiply
    11,732.16x = 16,188.48 × 7,258.89
  4. Step 4: Simplify right side
    11,732.16x = 117,510,395.59
  5. Step 5: Solve for x
    x = 117,510,395.59/11,732.16
  6. Step 6: Final answer
    x = 10,016.09

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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.