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Finding the Fourth Proportional to 11,732.87, 16,199.64 and 7,258.02

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Solution

The fourth proportional to 11,732.87, 16,199.64 and 7,258.02 is: 10,021.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,732.87 : 16,199.64 = 7,258.02 : x
  2. Step 2: Convert to fraction form
    11,732.87/16,199.64 = 7,258.02/x
  3. Step 3: Cross multiply
    11,732.87x = 16,199.64 × 7,258.02
  4. Step 4: Simplify right side
    11,732.87x = 117,577,311.11
  5. Step 5: Solve for x
    x = 117,577,311.11/11,732.87
  6. Step 6: Final answer
    x = 10,021.19

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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.